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Finding the Fourth Proportional to 142,633.40, 213,600.18 and 95,744.12

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Solution

The fourth proportional to 142,633.40, 213,600.18 and 95,744.12 is: 143,381.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,633.40 : 213,600.18 = 95,744.12 : x
  2. Step 2: Convert to fraction form
    142,633.40/213,600.18 = 95,744.12/x
  3. Step 3: Cross multiply
    142,633.40x = 213,600.18 × 95,744.12
  4. Step 4: Simplify right side
    142,633.40x = 20,450,961,265.94
  5. Step 5: Solve for x
    x = 20,450,961,265.94/142,633.40
  6. Step 6: Final answer
    x = 143,381.29

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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.