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Finding the Fourth Proportional to 342,406.52, 513,756.82 and 132,192.08

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Solution

The fourth proportional to 342,406.52, 513,756.82 and 132,192.08 is: 198,344.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,406.52 : 513,756.82 = 132,192.08 : x
  2. Step 2: Convert to fraction form
    342,406.52/513,756.82 = 132,192.08/x
  3. Step 3: Cross multiply
    342,406.52x = 513,756.82 × 132,192.08
  4. Step 4: Simplify right side
    342,406.52x = 67,914,582,649.99
  5. Step 5: Solve for x
    x = 67,914,582,649.99/342,406.52
  6. Step 6: Final answer
    x = 198,344.89

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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.