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Finding the Fourth Proportional to 310,972.14, 466,162.56 and 121,553.91

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Solution

The fourth proportional to 310,972.14, 466,162.56 and 121,553.91 is: 182,215.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,972.14 : 466,162.56 = 121,553.91 : x
  2. Step 2: Convert to fraction form
    310,972.14/466,162.56 = 121,553.91/x
  3. Step 3: Cross multiply
    310,972.14x = 466,162.56 × 121,553.91
  4. Step 4: Simplify right side
    310,972.14x = 56,663,881,863.61
  5. Step 5: Solve for x
    x = 56,663,881,863.61/310,972.14
  6. Step 6: Final answer
    x = 182,215.30

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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.