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Finding the Fourth Proportional to 150,909.57, 226,189.38 and 142,161.57

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Solution

The fourth proportional to 150,909.57, 226,189.38 and 142,161.57 is: 213,077.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,909.57 : 226,189.38 = 142,161.57 : x
  2. Step 2: Convert to fraction form
    150,909.57/226,189.38 = 142,161.57/x
  3. Step 3: Cross multiply
    150,909.57x = 226,189.38 × 142,161.57
  4. Step 4: Simplify right side
    150,909.57x = 32,155,437,378.13
  5. Step 5: Solve for x
    x = 32,155,437,378.13/150,909.57
  6. Step 6: Final answer
    x = 213,077.52

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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.