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Finding the Fourth Proportional to 148,959.80, 223,293.90 and 133,213.40

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Solution

The fourth proportional to 148,959.80, 223,293.90 and 133,213.40 is: 199,689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,959.80 : 223,293.90 = 133,213.40 : x
  2. Step 2: Convert to fraction form
    148,959.80/223,293.90 = 133,213.40/x
  3. Step 3: Cross multiply
    148,959.80x = 223,293.90 × 133,213.40
  4. Step 4: Simplify right side
    148,959.80x = 29,745,739,618.26
  5. Step 5: Solve for x
    x = 29,745,739,618.26/148,959.80
  6. Step 6: Final answer
    x = 199,689.71

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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.