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Finding the Fourth Proportional to 102,314.25, 141,195.17 and 59,296.95

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Solution

The fourth proportional to 102,314.25, 141,195.17 and 59,296.95 is: 81,830.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,314.25 : 141,195.17 = 59,296.95 : x
  2. Step 2: Convert to fraction form
    102,314.25/141,195.17 = 59,296.95/x
  3. Step 3: Cross multiply
    102,314.25x = 141,195.17 × 59,296.95
  4. Step 4: Simplify right side
    102,314.25x = 8,372,442,639.25
  5. Step 5: Solve for x
    x = 8,372,442,639.25/102,314.25
  6. Step 6: Final answer
    x = 81,830.66

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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.