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Finding the Fourth Proportional to 153,771.92, 230,691.75 and 47,170.55

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Solution

The fourth proportional to 153,771.92, 230,691.75 and 47,170.55 is: 70,766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,771.92 : 230,691.75 = 47,170.55 : x
  2. Step 2: Convert to fraction form
    153,771.92/230,691.75 = 47,170.55/x
  3. Step 3: Cross multiply
    153,771.92x = 230,691.75 × 47,170.55
  4. Step 4: Simplify right side
    153,771.92x = 10,881,857,127.80
  5. Step 5: Solve for x
    x = 10,881,857,127.80/153,771.92
  6. Step 6: Final answer
    x = 70,766.22

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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.