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Finding the Fourth Proportional to 99,454.80, 149,182.20 and 97,814.55

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Solution

The fourth proportional to 99,454.80, 149,182.20 and 97,814.55 is: 146,721.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,454.80 : 149,182.20 = 97,814.55 : x
  2. Step 2: Convert to fraction form
    99,454.80/149,182.20 = 97,814.55/x
  3. Step 3: Cross multiply
    99,454.80x = 149,182.20 × 97,814.55
  4. Step 4: Simplify right side
    99,454.80x = 14,592,189,761.01
  5. Step 5: Solve for x
    x = 14,592,189,761.01/99,454.80
  6. Step 6: Final answer
    x = 146,721.83

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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.