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Finding the Fourth Proportional to 98,116.70, 147,196.97 and 35,787.20

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Solution

The fourth proportional to 98,116.70, 147,196.97 and 35,787.20 is: 53,688.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,116.70 : 147,196.97 = 35,787.20 : x
  2. Step 2: Convert to fraction form
    98,116.70/147,196.97 = 35,787.20/x
  3. Step 3: Cross multiply
    98,116.70x = 147,196.97 × 35,787.20
  4. Step 4: Simplify right side
    98,116.70x = 5,267,766,489.86
  5. Step 5: Solve for x
    x = 5,267,766,489.86/98,116.70
  6. Step 6: Final answer
    x = 53,688.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.