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Finding the Fourth Proportional to 100,397.88, 138,549.18 and 55,685.88

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Solution

The fourth proportional to 100,397.88, 138,549.18 and 55,685.88 is: 76,846.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,397.88 : 138,549.18 = 55,685.88 : x
  2. Step 2: Convert to fraction form
    100,397.88/138,549.18 = 55,685.88/x
  3. Step 3: Cross multiply
    100,397.88x = 138,549.18 × 55,685.88
  4. Step 4: Simplify right side
    100,397.88x = 7,715,233,011.58
  5. Step 5: Solve for x
    x = 7,715,233,011.58/100,397.88
  6. Step 6: Final answer
    x = 76,846.57

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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.