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Finding the Fourth Proportional to 150,174.96, 225,802.52 and 138,471.78

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Solution

The fourth proportional to 150,174.96, 225,802.52 and 138,471.78 is: 208,205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,174.96 : 225,802.52 = 138,471.78 : x
  2. Step 2: Convert to fraction form
    150,174.96/225,802.52 = 138,471.78/x
  3. Step 3: Cross multiply
    150,174.96x = 225,802.52 × 138,471.78
  4. Step 4: Simplify right side
    150,174.96x = 31,267,276,872.89
  5. Step 5: Solve for x
    x = 31,267,276,872.89/150,174.96
  6. Step 6: Final answer
    x = 208,205.66

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1.5x scale

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.