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Finding the Fourth Proportional to 376,612.46, 564,938.13 and 96,132.14

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Solution

The fourth proportional to 376,612.46, 564,938.13 and 96,132.14 is: 144,203.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,612.46 : 564,938.13 = 96,132.14 : x
  2. Step 2: Convert to fraction form
    376,612.46/564,938.13 = 96,132.14/x
  3. Step 3: Cross multiply
    376,612.46x = 564,938.13 × 96,132.14
  4. Step 4: Simplify right side
    376,612.46x = 54,308,711,404.50
  5. Step 5: Solve for x
    x = 54,308,711,404.50/376,612.46
  6. Step 6: Final answer
    x = 144,203.17

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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.