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Finding the Fourth Proportional to 271,282.20, 407,117.70 and 152,827.80

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Solution

The fourth proportional to 271,282.20, 407,117.70 and 152,827.80 is: 229,351.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,282.20 : 407,117.70 = 152,827.80 : x
  2. Step 2: Convert to fraction form
    271,282.20/407,117.70 = 152,827.80/x
  3. Step 3: Cross multiply
    271,282.20x = 407,117.70 × 152,827.80
  4. Step 4: Simplify right side
    271,282.20x = 62,218,902,432.06
  5. Step 5: Solve for x
    x = 62,218,902,432.06/271,282.20
  6. Step 6: Final answer
    x = 229,351.22

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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.