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Finding the Fourth Proportional to 150,302.92, 225,447.36 and 61,534.48

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Solution

The fourth proportional to 150,302.92, 225,447.36 and 61,534.48 is: 92,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,302.92 : 225,447.36 = 61,534.48 : x
  2. Step 2: Convert to fraction form
    150,302.92/225,447.36 = 61,534.48/x
  3. Step 3: Cross multiply
    150,302.92x = 225,447.36 × 61,534.48
  4. Step 4: Simplify right side
    150,302.92x = 13,872,786,064.97
  5. Step 5: Solve for x
    x = 13,872,786,064.97/150,302.92
  6. Step 6: Final answer
    x = 92,298.85

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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.