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Finding the Fourth Proportional to 100,089.43, 138,117.45 and 54,758.38

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Solution

The fourth proportional to 100,089.43, 138,117.45 and 54,758.38 is: 75,563.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,089.43 : 138,117.45 = 54,758.38 : x
  2. Step 2: Convert to fraction form
    100,089.43/138,117.45 = 54,758.38/x
  3. Step 3: Cross multiply
    100,089.43x = 138,117.45 × 54,758.38
  4. Step 4: Simplify right side
    100,089.43x = 7,563,087,811.73
  5. Step 5: Solve for x
    x = 7,563,087,811.73/100,089.43
  6. Step 6: Final answer
    x = 75,563.30

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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.