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Finding the Fourth Proportional to 151,853.40, 227,780.10 and 68,747.40

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Solution

The fourth proportional to 151,853.40, 227,780.10 and 68,747.40 is: 103,121.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,853.40 : 227,780.10 = 68,747.40 : x
  2. Step 2: Convert to fraction form
    151,853.40/227,780.10 = 68,747.40/x
  3. Step 3: Cross multiply
    151,853.40x = 227,780.10 × 68,747.40
  4. Step 4: Simplify right side
    151,853.40x = 15,659,289,646.74
  5. Step 5: Solve for x
    x = 15,659,289,646.74/151,853.40
  6. Step 6: Final answer
    x = 103,121.10

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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.