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Finding the Fourth Proportional to 123,013.44, 169,765.86 and 75,276.06

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Solution

The fourth proportional to 123,013.44, 169,765.86 and 75,276.06 is: 103,885.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,013.44 : 169,765.86 = 75,276.06 : x
  2. Step 2: Convert to fraction form
    123,013.44/169,765.86 = 75,276.06/x
  3. Step 3: Cross multiply
    123,013.44x = 169,765.86 × 75,276.06
  4. Step 4: Simplify right side
    123,013.44x = 12,779,305,063.31
  5. Step 5: Solve for x
    x = 12,779,305,063.31/123,013.44
  6. Step 6: Final answer
    x = 103,885.44

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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.