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Finding the Fourth Proportional to 338,102.75, 466,596.38 and 187,199.75

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Solution

The fourth proportional to 338,102.75, 466,596.38 and 187,199.75 is: 258,343.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,102.75 : 466,596.38 = 187,199.75 : x
  2. Step 2: Convert to fraction form
    338,102.75/466,596.38 = 187,199.75/x
  3. Step 3: Cross multiply
    338,102.75x = 466,596.38 × 187,199.75
  4. Step 4: Simplify right side
    338,102.75x = 87,346,725,686.91
  5. Step 5: Solve for x
    x = 87,346,725,686.91/338,102.75
  6. Step 6: Final answer
    x = 258,343.73

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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.