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Finding the Fourth Proportional to 169,600.78, 254,347.14 and 55,722.15

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Solution

The fourth proportional to 169,600.78, 254,347.14 and 55,722.15 is: 83,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,600.78 : 254,347.14 = 55,722.15 : x
  2. Step 2: Convert to fraction form
    169,600.78/254,347.14 = 55,722.15/x
  3. Step 3: Cross multiply
    169,600.78x = 254,347.14 × 55,722.15
  4. Step 4: Simplify right side
    169,600.78x = 14,172,769,487.15
  5. Step 5: Solve for x
    x = 14,172,769,487.15/169,600.78
  6. Step 6: Final answer
    x = 83,565.47

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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.