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Finding the Fourth Proportional to 176,478.26, 264,766.80 and 71,371.04

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Solution

The fourth proportional to 176,478.26, 264,766.80 and 71,371.04 is: 107,076.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,478.26 : 264,766.80 = 71,371.04 : x
  2. Step 2: Convert to fraction form
    176,478.26/264,766.80 = 71,371.04/x
  3. Step 3: Cross multiply
    176,478.26x = 264,766.80 × 71,371.04
  4. Step 4: Simplify right side
    176,478.26x = 18,896,681,873.47
  5. Step 5: Solve for x
    x = 18,896,681,873.47/176,478.26
  6. Step 6: Final answer
    x = 107,076.54

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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.