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Finding the Fourth Proportional to 151,401.40, 227,102.10 and 111,743.80

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Solution

The fourth proportional to 151,401.40, 227,102.10 and 111,743.80 is: 167,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,401.40 : 227,102.10 = 111,743.80 : x
  2. Step 2: Convert to fraction form
    151,401.40/227,102.10 = 111,743.80/x
  3. Step 3: Cross multiply
    151,401.40x = 227,102.10 × 111,743.80
  4. Step 4: Simplify right side
    151,401.40x = 25,377,251,641.98
  5. Step 5: Solve for x
    x = 25,377,251,641.98/151,401.40
  6. Step 6: Final answer
    x = 167,615.70

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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.