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Finding the Fourth Proportional to 171,397,671.20, 257,096,506.80 and 146,738,808.80

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Solution

The fourth proportional to 171,397,671.20, 257,096,506.80 and 146,738,808.80 is: 220,108,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,397,671.20 : 257,096,506.80 = 146,738,808.80 : x
  2. Step 2: Convert to fraction form
    171,397,671.20/257,096,506.80 = 146,738,808.80/x
  3. Step 3: Cross multiply
    171,397,671.20x = 257,096,506.80 × 146,738,808.80
  4. Step 4: Simplify right side
    171,397,671.20x = 37,726,035,154,473,104
  5. Step 5: Solve for x
    x = 37,726,035,154,473,104/171,397,671.20
  6. Step 6: Final answer
    x = 220,108,213.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.