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Finding the Fourth Proportional to 171,984.54, 257,671.29 and 146,768.70

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Solution

The fourth proportional to 171,984.54, 257,671.29 and 146,768.70 is: 219,892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,984.54 : 257,671.29 = 146,768.70 : x
  2. Step 2: Convert to fraction form
    171,984.54/257,671.29 = 146,768.70/x
  3. Step 3: Cross multiply
    171,984.54x = 257,671.29 × 146,768.70
  4. Step 4: Simplify right side
    171,984.54x = 37,818,080,260.62
  5. Step 5: Solve for x
    x = 37,818,080,260.62/171,984.54
  6. Step 6: Final answer
    x = 219,892.32

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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.