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Finding the Fourth Proportional to 98,142.30, 135,419.99 and 57,850.61

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Solution

The fourth proportional to 98,142.30, 135,419.99 and 57,850.61 is: 79,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,142.30 : 135,419.99 = 57,850.61 : x
  2. Step 2: Convert to fraction form
    98,142.30/135,419.99 = 57,850.61/x
  3. Step 3: Cross multiply
    98,142.30x = 135,419.99 × 57,850.61
  4. Step 4: Simplify right side
    98,142.30x = 7,834,128,061.34
  5. Step 5: Solve for x
    x = 7,834,128,061.34/98,142.30
  6. Step 6: Final answer
    x = 79,824.17

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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.