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Finding the Fourth Proportional to 150,429.69, 225,422.73 and 83,778.03

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Solution

The fourth proportional to 150,429.69, 225,422.73 and 83,778.03 is: 125,543.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,429.69 : 225,422.73 = 83,778.03 : x
  2. Step 2: Convert to fraction form
    150,429.69/225,422.73 = 83,778.03/x
  3. Step 3: Cross multiply
    150,429.69x = 225,422.73 × 83,778.03
  4. Step 4: Simplify right side
    150,429.69x = 18,885,472,236.62
  5. Step 5: Solve for x
    x = 18,885,472,236.62/150,429.69
  6. Step 6: Final answer
    x = 125,543.52

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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.