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Finding the Fourth Proportional to 142,002.70, 212,744.85 and 115,564.30

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Solution

The fourth proportional to 142,002.70, 212,744.85 and 115,564.30 is: 173,135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,002.70 : 212,744.85 = 115,564.30 : x
  2. Step 2: Convert to fraction form
    142,002.70/212,744.85 = 115,564.30/x
  3. Step 3: Cross multiply
    142,002.70x = 212,744.85 × 115,564.30
  4. Step 4: Simplify right side
    142,002.70x = 24,585,709,668.86
  5. Step 5: Solve for x
    x = 24,585,709,668.86/142,002.70
  6. Step 6: Final answer
    x = 173,135.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.