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Finding the Fourth Proportional to 338,105.52, 466,600.16 and 187,202.52

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Solution

The fourth proportional to 338,105.52, 466,600.16 and 187,202.52 is: 258,347.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,105.52 : 466,600.16 = 187,202.52 : x
  2. Step 2: Convert to fraction form
    338,105.52/466,600.16 = 187,202.52/x
  3. Step 3: Cross multiply
    338,105.52x = 466,600.16 × 187,202.52
  4. Step 4: Simplify right side
    338,105.52x = 87,348,725,784.40
  5. Step 5: Solve for x
    x = 87,348,725,784.40/338,105.52
  6. Step 6: Final answer
    x = 258,347.53

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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.