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Finding the Fourth Proportional to 150,422.40, 225,190.80 and 111,154.68

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Solution

The fourth proportional to 150,422.40, 225,190.80 and 111,154.68 is: 166,404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,422.40 : 225,190.80 = 111,154.68 : x
  2. Step 2: Convert to fraction form
    150,422.40/225,190.80 = 111,154.68/x
  3. Step 3: Cross multiply
    150,422.40x = 225,190.80 × 111,154.68
  4. Step 4: Simplify right side
    150,422.40x = 25,031,011,312.94
  5. Step 5: Solve for x
    x = 25,031,011,312.94/150,422.40
  6. Step 6: Final answer
    x = 166,404.81

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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.