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Finding the Fourth Proportional to 204,023.30, 306,034.95 and 141,815.30

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Solution

The fourth proportional to 204,023.30, 306,034.95 and 141,815.30 is: 212,722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,023.30 : 306,034.95 = 141,815.30 : x
  2. Step 2: Convert to fraction form
    204,023.30/306,034.95 = 141,815.30/x
  3. Step 3: Cross multiply
    204,023.30x = 306,034.95 × 141,815.30
  4. Step 4: Simplify right side
    204,023.30x = 43,400,438,244.74
  5. Step 5: Solve for x
    x = 43,400,438,244.74/204,023.30
  6. Step 6: Final answer
    x = 212,722.95

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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.