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Finding the Fourth Proportional to 176,722.30, 264,910.65 and 71,400.70

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Solution

The fourth proportional to 176,722.30, 264,910.65 and 71,400.70 is: 107,031.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,722.30 : 264,910.65 = 71,400.70 : x
  2. Step 2: Convert to fraction form
    176,722.30/264,910.65 = 71,400.70/x
  3. Step 3: Cross multiply
    176,722.30x = 264,910.65 × 71,400.70
  4. Step 4: Simplify right side
    176,722.30x = 18,914,805,847.46
  5. Step 5: Solve for x
    x = 18,914,805,847.46/176,722.30
  6. Step 6: Final answer
    x = 107,031.23

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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.