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Finding the Fourth Proportional to 98,502.80, 147,581.40 and 80,877.20

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Solution

The fourth proportional to 98,502.80, 147,581.40 and 80,877.20 is: 121,173.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,502.80 : 147,581.40 = 80,877.20 : x
  2. Step 2: Convert to fraction form
    98,502.80/147,581.40 = 80,877.20/x
  3. Step 3: Cross multiply
    98,502.80x = 147,581.40 × 80,877.20
  4. Step 4: Simplify right side
    98,502.80x = 11,935,970,404.08
  5. Step 5: Solve for x
    x = 11,935,970,404.08/98,502.80
  6. Step 6: Final answer
    x = 121,173.92

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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.