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Finding the Fourth Proportional to 95,744.40, 143,357.40 and 75,008.40

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Solution

The fourth proportional to 95,744.40, 143,357.40 and 75,008.40 is: 112,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,744.40 : 143,357.40 = 75,008.40 : x
  2. Step 2: Convert to fraction form
    95,744.40/143,357.40 = 75,008.40/x
  3. Step 3: Cross multiply
    95,744.40x = 143,357.40 × 75,008.40
  4. Step 4: Simplify right side
    95,744.40x = 10,753,009,202.16
  5. Step 5: Solve for x
    x = 10,753,009,202.16/95,744.40
  6. Step 6: Final answer
    x = 112,309.54

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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.