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Finding the Fourth Proportional to 169,454.73, 253,781.30 and 147,146.93

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Solution

The fourth proportional to 169,454.73, 253,781.30 and 147,146.93 is: 220,372.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,454.73 : 253,781.30 = 147,146.93 : x
  2. Step 2: Convert to fraction form
    169,454.73/253,781.30 = 147,146.93/x
  3. Step 3: Cross multiply
    169,454.73x = 253,781.30 × 147,146.93
  4. Step 4: Simplify right side
    169,454.73x = 37,343,139,237.05
  5. Step 5: Solve for x
    x = 37,343,139,237.05/169,454.73
  6. Step 6: Final answer
    x = 220,372.36

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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.