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Finding the Fourth Proportional to 95,198.40, 142,700.40 and 55,735.20

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Solution

The fourth proportional to 95,198.40, 142,700.40 and 55,735.20 is: 83,545.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,198.40 : 142,700.40 = 55,735.20 : x
  2. Step 2: Convert to fraction form
    95,198.40/142,700.40 = 55,735.20/x
  3. Step 3: Cross multiply
    95,198.40x = 142,700.40 × 55,735.20
  4. Step 4: Simplify right side
    95,198.40x = 7,953,435,334.08
  5. Step 5: Solve for x
    x = 7,953,435,334.08/95,198.40
  6. Step 6: Final answer
    x = 83,545.89

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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.