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Finding the Fourth Proportional to 109,600.38, 151,248.52 and 59,299.38

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Solution

The fourth proportional to 109,600.38, 151,248.52 and 59,299.38 is: 81,833.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,600.38 : 151,248.52 = 59,299.38 : x
  2. Step 2: Convert to fraction form
    109,600.38/151,248.52 = 59,299.38/x
  3. Step 3: Cross multiply
    109,600.38x = 151,248.52 × 59,299.38
  4. Step 4: Simplify right side
    109,600.38x = 8,968,943,461.92
  5. Step 5: Solve for x
    x = 8,968,943,461.92/109,600.38
  6. Step 6: Final answer
    x = 81,833.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.