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Finding the Fourth Proportional to 126,942.98, 175,140.14 and 75,264.16

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Solution

The fourth proportional to 126,942.98, 175,140.14 and 75,264.16 is: 103,840.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,942.98 : 175,140.14 = 75,264.16 : x
  2. Step 2: Convert to fraction form
    126,942.98/175,140.14 = 75,264.16/x
  3. Step 3: Cross multiply
    126,942.98x = 175,140.14 × 75,264.16
  4. Step 4: Simplify right side
    126,942.98x = 13,181,775,519.38
  5. Step 5: Solve for x
    x = 13,181,775,519.38/126,942.98
  6. Step 6: Final answer
    x = 103,840.13

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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.