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Finding the Fourth Proportional to 123,419.38, 170,319.56 and 66,830.76

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Solution

The fourth proportional to 123,419.38, 170,319.56 and 66,830.76 is: 92,226.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,419.38 : 170,319.56 = 66,830.76 : x
  2. Step 2: Convert to fraction form
    123,419.38/170,319.56 = 66,830.76/x
  3. Step 3: Cross multiply
    123,419.38x = 170,319.56 × 66,830.76
  4. Step 4: Simplify right side
    123,419.38x = 11,382,584,953.14
  5. Step 5: Solve for x
    x = 11,382,584,953.14/123,419.38
  6. Step 6: Final answer
    x = 92,226.88

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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.