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Finding the Fourth Proportional to 106,772.10, 147,339.17 and 59,022.60

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Solution

The fourth proportional to 106,772.10, 147,339.17 and 59,022.60 is: 81,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,772.10 : 147,339.17 = 59,022.60 : x
  2. Step 2: Convert to fraction form
    106,772.10/147,339.17 = 59,022.60/x
  3. Step 3: Cross multiply
    106,772.10x = 147,339.17 × 59,022.60
  4. Step 4: Simplify right side
    106,772.10x = 8,696,340,600.13
  5. Step 5: Solve for x
    x = 8,696,340,600.13/106,772.10
  6. Step 6: Final answer
    x = 81,447.69

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