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Finding the Fourth Proportional to 150,609.98, 225,913.76 and 38,290.52

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Solution

The fourth proportional to 150,609.98, 225,913.76 and 38,290.52 is: 57,435.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,609.98 : 225,913.76 = 38,290.52 : x
  2. Step 2: Convert to fraction form
    150,609.98/225,913.76 = 38,290.52/x
  3. Step 3: Cross multiply
    150,609.98x = 225,913.76 × 38,290.52
  4. Step 4: Simplify right side
    150,609.98x = 8,650,355,862.48
  5. Step 5: Solve for x
    x = 8,650,355,862.48/150,609.98
  6. Step 6: Final answer
    x = 57,435.47

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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.