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Finding the Fourth Proportional to 123,496.38, 170,323.56 and 75,716.10

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Solution

The fourth proportional to 123,496.38, 170,323.56 and 75,716.10 is: 104,426.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,496.38 : 170,323.56 = 75,716.10 : x
  2. Step 2: Convert to fraction form
    123,496.38/170,323.56 = 75,716.10/x
  3. Step 3: Cross multiply
    123,496.38x = 170,323.56 × 75,716.10
  4. Step 4: Simplify right side
    123,496.38x = 12,896,235,701.32
  5. Step 5: Solve for x
    x = 12,896,235,701.32/123,496.38
  6. Step 6: Final answer
    x = 104,426.02

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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.