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Finding the Fourth Proportional to 242,022.80, 363,034.20 and 179,037.20

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Solution

The fourth proportional to 242,022.80, 363,034.20 and 179,037.20 is: 268,555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,022.80 : 363,034.20 = 179,037.20 : x
  2. Step 2: Convert to fraction form
    242,022.80/363,034.20 = 179,037.20/x
  3. Step 3: Cross multiply
    242,022.80x = 363,034.20 × 179,037.20
  4. Step 4: Simplify right side
    242,022.80x = 64,996,626,672.24
  5. Step 5: Solve for x
    x = 64,996,626,672.24/242,022.80
  6. Step 6: Final answer
    x = 268,555.80

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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.