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Finding the Fourth Proportional to 176,500.80, 264,751.20 and 76,708.80

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Solution

The fourth proportional to 176,500.80, 264,751.20 and 76,708.80 is: 115,063.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,500.80 : 264,751.20 = 76,708.80 : x
  2. Step 2: Convert to fraction form
    176,500.80/264,751.20 = 76,708.80/x
  3. Step 3: Cross multiply
    176,500.80x = 264,751.20 × 76,708.80
  4. Step 4: Simplify right side
    176,500.80x = 20,308,746,850.56
  5. Step 5: Solve for x
    x = 20,308,746,850.56/176,500.80
  6. Step 6: Final answer
    x = 115,063.20

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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.