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Finding the Fourth Proportional to 227,047.50, 313,335.27 and 126,445.50

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Solution

The fourth proportional to 227,047.50, 313,335.27 and 126,445.50 is: 174,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,047.50 : 313,335.27 = 126,445.50 : x
  2. Step 2: Convert to fraction form
    227,047.50/313,335.27 = 126,445.50/x
  3. Step 3: Cross multiply
    227,047.50x = 313,335.27 × 126,445.50
  4. Step 4: Simplify right side
    227,047.50x = 39,619,834,882.79
  5. Step 5: Solve for x
    x = 39,619,834,882.79/227,047.50
  6. Step 6: Final answer
    x = 174,500.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.