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Finding the Fourth Proportional to 123,801.75, 185,705.10 and 40,695.75

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Solution

The fourth proportional to 123,801.75, 185,705.10 and 40,695.75 is: 61,044.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,801.75 : 185,705.10 = 40,695.75 : x
  2. Step 2: Convert to fraction form
    123,801.75/185,705.10 = 40,695.75/x
  3. Step 3: Cross multiply
    123,801.75x = 185,705.10 × 40,695.75
  4. Step 4: Simplify right side
    123,801.75x = 7,557,408,323.33
  5. Step 5: Solve for x
    x = 7,557,408,323.33/123,801.75
  6. Step 6: Final answer
    x = 61,044.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.