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Finding the Fourth Proportional to 106,766.69, 147,332.24 and 59,016.96

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Solution

The fourth proportional to 106,766.69, 147,332.24 and 59,016.96 is: 81,440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,766.69 : 147,332.24 = 59,016.96 : x
  2. Step 2: Convert to fraction form
    106,766.69/147,332.24 = 59,016.96/x
  3. Step 3: Cross multiply
    106,766.69x = 147,332.24 × 59,016.96
  4. Step 4: Simplify right side
    106,766.69x = 8,695,099,883.04
  5. Step 5: Solve for x
    x = 8,695,099,883.04/106,766.69
  6. Step 6: Final answer
    x = 81,440.20

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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.