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Finding the Fourth Proportional to 102,613.14, 141,608.52 and 64,374.30

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Solution

The fourth proportional to 102,613.14, 141,608.52 and 64,374.30 is: 88,838.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,613.14 : 141,608.52 = 64,374.30 : x
  2. Step 2: Convert to fraction form
    102,613.14/141,608.52 = 64,374.30/x
  3. Step 3: Cross multiply
    102,613.14x = 141,608.52 × 64,374.30
  4. Step 4: Simplify right side
    102,613.14x = 9,115,949,349.04
  5. Step 5: Solve for x
    x = 9,115,949,349.04/102,613.14
  6. Step 6: Final answer
    x = 88,838.03

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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.