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Finding the Fourth Proportional to 135,353, 186,787.14 and 75,737

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Solution

The fourth proportional to 135,353, 186,787.14 and 75,737 is: 104,517.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,353 : 186,787.14 = 75,737 : x
  2. Step 2: Convert to fraction form
    135,353/186,787.14 = 75,737/x
  3. Step 3: Cross multiply
    135,353x = 186,787.14 × 75,737
  4. Step 4: Simplify right side
    135,353x = 14,146,697,622.18
  5. Step 5: Solve for x
    x = 14,146,697,622.18/135,353
  6. Step 6: Final answer
    x = 104,517.06

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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.