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Finding the Fourth Proportional to 100,677.96, 138,932.64 and 55,355.90

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Solution

The fourth proportional to 100,677.96, 138,932.64 and 55,355.90 is: 76,389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,677.96 : 138,932.64 = 55,355.90 : x
  2. Step 2: Convert to fraction form
    100,677.96/138,932.64 = 55,355.90/x
  3. Step 3: Cross multiply
    100,677.96x = 138,932.64 × 55,355.90
  4. Step 4: Simplify right side
    100,677.96x = 7,690,741,326.58
  5. Step 5: Solve for x
    x = 7,690,741,326.58/100,677.96
  6. Step 6: Final answer
    x = 76,389.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.