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Finding the Fourth Proportional to 233,064.61, 349,607.85 and 83,375.80

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Solution

The fourth proportional to 233,064.61, 349,607.85 and 83,375.80 is: 125,067.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,064.61 : 349,607.85 = 83,375.80 : x
  2. Step 2: Convert to fraction form
    233,064.61/349,607.85 = 83,375.80/x
  3. Step 3: Cross multiply
    233,064.61x = 349,607.85 × 83,375.80
  4. Step 4: Simplify right side
    233,064.61x = 29,148,834,180.03
  5. Step 5: Solve for x
    x = 29,148,834,180.03/233,064.61
  6. Step 6: Final answer
    x = 125,067.61

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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.