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Finding the Fourth Proportional to 151,092.64, 226,654.80 and 51,248.80

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Solution

The fourth proportional to 151,092.64, 226,654.80 and 51,248.80 is: 76,878.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,092.64 : 226,654.80 = 51,248.80 : x
  2. Step 2: Convert to fraction form
    151,092.64/226,654.80 = 51,248.80/x
  3. Step 3: Cross multiply
    151,092.64x = 226,654.80 × 51,248.80
  4. Step 4: Simplify right side
    151,092.64x = 11,615,786,514.24
  5. Step 5: Solve for x
    x = 11,615,786,514.24/151,092.64
  6. Step 6: Final answer
    x = 76,878.57

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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.