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Finding the Fourth Proportional to 102,782.13, 141,863.04 and 66,909.66

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Solution

The fourth proportional to 102,782.13, 141,863.04 and 66,909.66 is: 92,350.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,782.13 : 141,863.04 = 66,909.66 : x
  2. Step 2: Convert to fraction form
    102,782.13/141,863.04 = 66,909.66/x
  3. Step 3: Cross multiply
    102,782.13x = 141,863.04 × 66,909.66
  4. Step 4: Simplify right side
    102,782.13x = 9,492,007,772.97
  5. Step 5: Solve for x
    x = 9,492,007,772.97/102,782.13
  6. Step 6: Final answer
    x = 92,350.76

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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.