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Finding the Fourth Proportional to 204,031.80, 306,047.70 and 141,046.20

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Solution

The fourth proportional to 204,031.80, 306,047.70 and 141,046.20 is: 211,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,031.80 : 306,047.70 = 141,046.20 : x
  2. Step 2: Convert to fraction form
    204,031.80/306,047.70 = 141,046.20/x
  3. Step 3: Cross multiply
    204,031.80x = 306,047.70 × 141,046.20
  4. Step 4: Simplify right side
    204,031.80x = 43,166,865,103.74
  5. Step 5: Solve for x
    x = 43,166,865,103.74/204,031.80
  6. Step 6: Final answer
    x = 211,569.30

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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.