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Finding the Fourth Proportional to 176,823.60, 265,251.60 and 71,620.80

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Solution

The fourth proportional to 176,823.60, 265,251.60 and 71,620.80 is: 107,437.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,823.60 : 265,251.60 = 71,620.80 : x
  2. Step 2: Convert to fraction form
    176,823.60/265,251.60 = 71,620.80/x
  3. Step 3: Cross multiply
    176,823.60x = 265,251.60 × 71,620.80
  4. Step 4: Simplify right side
    176,823.60x = 18,997,531,793.28
  5. Step 5: Solve for x
    x = 18,997,531,793.28/176,823.60
  6. Step 6: Final answer
    x = 107,437.76

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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.