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Finding the Fourth Proportional to 102,080.43, 140,838.48 and 61,781.31

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Solution

The fourth proportional to 102,080.43, 140,838.48 and 61,781.31 is: 85,238.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,080.43 : 140,838.48 = 61,781.31 : x
  2. Step 2: Convert to fraction form
    102,080.43/140,838.48 = 61,781.31/x
  3. Step 3: Cross multiply
    102,080.43x = 140,838.48 × 61,781.31
  4. Step 4: Simplify right side
    102,080.43x = 8,701,185,792.81
  5. Step 5: Solve for x
    x = 8,701,185,792.81/102,080.43
  6. Step 6: Final answer
    x = 85,238.53

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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.