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Finding the Fourth Proportional to 102,686.57, 141,702.40 and 57,355.53

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Solution

The fourth proportional to 102,686.57, 141,702.40 and 57,355.53 is: 79,147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,686.57 : 141,702.40 = 57,355.53 : x
  2. Step 2: Convert to fraction form
    102,686.57/141,702.40 = 57,355.53/x
  3. Step 3: Cross multiply
    102,686.57x = 141,702.40 × 57,355.53
  4. Step 4: Simplify right side
    102,686.57x = 8,127,416,254.27
  5. Step 5: Solve for x
    x = 8,127,416,254.27/102,686.57
  6. Step 6: Final answer
    x = 79,147.80

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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.