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Finding the Fourth Proportional to 102,434, 141,397.80 and 68,919.44

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Solution

The fourth proportional to 102,434, 141,397.80 and 68,919.44 is: 95,134.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,434 : 141,397.80 = 68,919.44 : x
  2. Step 2: Convert to fraction form
    102,434/141,397.80 = 68,919.44/x
  3. Step 3: Cross multiply
    102,434x = 141,397.80 × 68,919.44
  4. Step 4: Simplify right side
    102,434x = 9,745,057,193.23
  5. Step 5: Solve for x
    x = 9,745,057,193.23/102,434
  6. Step 6: Final answer
    x = 95,134.99

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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.