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Finding the Fourth Proportional to 150,720.80, 226,081.20 and 142,119.20

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Solution

The fourth proportional to 150,720.80, 226,081.20 and 142,119.20 is: 213,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,720.80 : 226,081.20 = 142,119.20 : x
  2. Step 2: Convert to fraction form
    150,720.80/226,081.20 = 142,119.20/x
  3. Step 3: Cross multiply
    150,720.80x = 226,081.20 × 142,119.20
  4. Step 4: Simplify right side
    150,720.80x = 32,130,479,279.04
  5. Step 5: Solve for x
    x = 32,130,479,279.04/150,720.80
  6. Step 6: Final answer
    x = 213,178.80

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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.