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Finding the Fourth Proportional to 100,097.38, 138,112.47 and 59,805.10

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Solution

The fourth proportional to 100,097.38, 138,112.47 and 59,805.10 is: 82,517.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,097.38 : 138,112.47 = 59,805.10 : x
  2. Step 2: Convert to fraction form
    100,097.38/138,112.47 = 59,805.10/x
  3. Step 3: Cross multiply
    100,097.38x = 138,112.47 × 59,805.10
  4. Step 4: Simplify right side
    100,097.38x = 8,259,830,079.60
  5. Step 5: Solve for x
    x = 8,259,830,079.60/100,097.38
  6. Step 6: Final answer
    x = 82,517.94

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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.