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Finding the Fourth Proportional to 342,275.54, 513,304.11 and 117,581.80

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Solution

The fourth proportional to 342,275.54, 513,304.11 and 117,581.80 is: 176,335.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,275.54 : 513,304.11 = 117,581.80 : x
  2. Step 2: Convert to fraction form
    342,275.54/513,304.11 = 117,581.80/x
  3. Step 3: Cross multiply
    342,275.54x = 513,304.11 × 117,581.80
  4. Step 4: Simplify right side
    342,275.54x = 60,355,218,634.68
  5. Step 5: Solve for x
    x = 60,355,218,634.68/342,275.54
  6. Step 6: Final answer
    x = 176,335.18

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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.