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Finding the Fourth Proportional to 102,397.96, 141,317.40 and 57,090.61

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Solution

The fourth proportional to 102,397.96, 141,317.40 and 57,090.61 is: 78,789.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,397.96 : 141,317.40 = 57,090.61 : x
  2. Step 2: Convert to fraction form
    102,397.96/141,317.40 = 57,090.61/x
  3. Step 3: Cross multiply
    102,397.96x = 141,317.40 × 57,090.61
  4. Step 4: Simplify right side
    102,397.96x = 8,067,896,569.61
  5. Step 5: Solve for x
    x = 8,067,896,569.61/102,397.96
  6. Step 6: Final answer
    x = 78,789.62

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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.