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Finding the Fourth Proportional to 102,839.16, 141,919.16 and 60,398.40

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Solution

The fourth proportional to 102,839.16, 141,919.16 and 60,398.40 is: 83,350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,839.16 : 141,919.16 = 60,398.40 : x
  2. Step 2: Convert to fraction form
    102,839.16/141,919.16 = 60,398.40/x
  3. Step 3: Cross multiply
    102,839.16x = 141,919.16 × 60,398.40
  4. Step 4: Simplify right side
    102,839.16x = 8,571,690,193.34
  5. Step 5: Solve for x
    x = 8,571,690,193.34/102,839.16
  6. Step 6: Final answer
    x = 83,350.45

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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.