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Finding the Fourth Proportional to 169,456.73, 253,784.30 and 147,148.93

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Solution

The fourth proportional to 169,456.73, 253,784.30 and 147,148.93 is: 220,375.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,456.73 : 253,784.30 = 147,148.93 : x
  2. Step 2: Convert to fraction form
    169,456.73/253,784.30 = 147,148.93/x
  3. Step 3: Cross multiply
    169,456.73x = 253,784.30 × 147,148.93
  4. Step 4: Simplify right side
    169,456.73x = 37,344,088,195.80
  5. Step 5: Solve for x
    x = 37,344,088,195.80/169,456.73
  6. Step 6: Final answer
    x = 220,375.36

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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.