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Finding the Fourth Proportional to 100,693.64, 138,952.46 and 55,373.53

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Solution

The fourth proportional to 100,693.64, 138,952.46 and 55,373.53 is: 76,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,693.64 : 138,952.46 = 55,373.53 : x
  2. Step 2: Convert to fraction form
    100,693.64/138,952.46 = 55,373.53/x
  3. Step 3: Cross multiply
    100,693.64x = 138,952.46 × 55,373.53
  4. Step 4: Simplify right side
    100,693.64x = 7,694,288,212.38
  5. Step 5: Solve for x
    x = 7,694,288,212.38/100,693.64
  6. Step 6: Final answer
    x = 76,412.85

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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.