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Finding the Fourth Proportional to 100,159.40, 138,221.58 and 54,836.60

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Solution

The fourth proportional to 100,159.40, 138,221.58 and 54,836.60 is: 75,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,159.40 : 138,221.58 = 54,836.60 : x
  2. Step 2: Convert to fraction form
    100,159.40/138,221.58 = 54,836.60/x
  3. Step 3: Cross multiply
    100,159.40x = 138,221.58 × 54,836.60
  4. Step 4: Simplify right side
    100,159.40x = 7,579,601,493.83
  5. Step 5: Solve for x
    x = 7,579,601,493.83/100,159.40
  6. Step 6: Final answer
    x = 75,675.39

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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.