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Finding the Fourth Proportional to 102,394.10, 141,391.14 and 64,217.90

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Solution

The fourth proportional to 102,394.10, 141,391.14 and 64,217.90 is: 88,675.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,394.10 : 141,391.14 = 64,217.90 : x
  2. Step 2: Convert to fraction form
    102,394.10/141,391.14 = 64,217.90/x
  3. Step 3: Cross multiply
    102,394.10x = 141,391.14 × 64,217.90
  4. Step 4: Simplify right side
    102,394.10x = 9,079,842,089.41
  5. Step 5: Solve for x
    x = 9,079,842,089.41/102,394.10
  6. Step 6: Final answer
    x = 88,675.44

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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.