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Finding the Fourth Proportional to 153,494.87, 229,961.76 and 111,270.22

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Solution

The fourth proportional to 153,494.87, 229,961.76 and 111,270.22 is: 166,701.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,494.87 : 229,961.76 = 111,270.22 : x
  2. Step 2: Convert to fraction form
    153,494.87/229,961.76 = 111,270.22/x
  3. Step 3: Cross multiply
    153,494.87x = 229,961.76 × 111,270.22
  4. Step 4: Simplify right side
    153,494.87x = 25,587,894,634.62
  5. Step 5: Solve for x
    x = 25,587,894,634.62/153,494.87
  6. Step 6: Final answer
    x = 166,701.96

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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.