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Finding the Fourth Proportional to 106,314.66, 159,419.34 and 61,952.58

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Solution

The fourth proportional to 106,314.66, 159,419.34 and 61,952.58 is: 92,898.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,314.66 : 159,419.34 = 61,952.58 : x
  2. Step 2: Convert to fraction form
    106,314.66/159,419.34 = 61,952.58/x
  3. Step 3: Cross multiply
    106,314.66x = 159,419.34 × 61,952.58
  4. Step 4: Simplify right side
    106,314.66x = 9,876,439,414.90
  5. Step 5: Solve for x
    x = 9,876,439,414.90/106,314.66
  6. Step 6: Final answer
    x = 92,898.19

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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.