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Finding the Fourth Proportional to 101,449.90, 152,174.85 and 98,857.90

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Solution

The fourth proportional to 101,449.90, 152,174.85 and 98,857.90 is: 148,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,449.90 : 152,174.85 = 98,857.90 : x
  2. Step 2: Convert to fraction form
    101,449.90/152,174.85 = 98,857.90/x
  3. Step 3: Cross multiply
    101,449.90x = 152,174.85 × 98,857.90
  4. Step 4: Simplify right side
    101,449.90x = 15,043,686,103.82
  5. Step 5: Solve for x
    x = 15,043,686,103.82/101,449.90
  6. Step 6: Final answer
    x = 148,286.85

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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.