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Finding the Fourth Proportional to 150,442.76, 225,658.66 and 60,513.32

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Solution

The fourth proportional to 150,442.76, 225,658.66 and 60,513.32 is: 90,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,442.76 : 225,658.66 = 60,513.32 : x
  2. Step 2: Convert to fraction form
    150,442.76/225,658.66 = 60,513.32/x
  3. Step 3: Cross multiply
    150,442.76x = 225,658.66 × 60,513.32
  4. Step 4: Simplify right side
    150,442.76x = 13,655,354,703.35
  5. Step 5: Solve for x
    x = 13,655,354,703.35/150,442.76
  6. Step 6: Final answer
    x = 90,767.78

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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.