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Finding the Fourth Proportional to 149,842, 206,787.90 and 86,179.72

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Solution

The fourth proportional to 149,842, 206,787.90 and 86,179.72 is: 118,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,842 : 206,787.90 = 86,179.72 : x
  2. Step 2: Convert to fraction form
    149,842/206,787.90 = 86,179.72/x
  3. Step 3: Cross multiply
    149,842x = 206,787.90 × 86,179.72
  4. Step 4: Simplify right side
    149,842x = 17,820,923,321.39
  5. Step 5: Solve for x
    x = 17,820,923,321.39/149,842
  6. Step 6: Final answer
    x = 118,931.43

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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.