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Finding the Fourth Proportional to 101,414.78, 151,997.56 and 56,948.06

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Solution

The fourth proportional to 101,414.78, 151,997.56 and 56,948.06 is: 85,352.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,414.78 : 151,997.56 = 56,948.06 : x
  2. Step 2: Convert to fraction form
    101,414.78/151,997.56 = 56,948.06/x
  3. Step 3: Cross multiply
    101,414.78x = 151,997.56 × 56,948.06
  4. Step 4: Simplify right side
    101,414.78x = 8,655,966,724.69
  5. Step 5: Solve for x
    x = 8,655,966,724.69/101,414.78
  6. Step 6: Final answer
    x = 85,352.12

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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.