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Finding the Fourth Proportional to 202,097.20, 302,562.60 and 178,769.20

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Solution

The fourth proportional to 202,097.20, 302,562.60 and 178,769.20 is: 267,637.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,097.20 : 302,562.60 = 178,769.20 : x
  2. Step 2: Convert to fraction form
    202,097.20/302,562.60 = 178,769.20/x
  3. Step 3: Cross multiply
    202,097.20x = 302,562.60 × 178,769.20
  4. Step 4: Simplify right side
    202,097.20x = 54,088,873,951.92
  5. Step 5: Solve for x
    x = 54,088,873,951.92/202,097.20
  6. Step 6: Final answer
    x = 267,637.92

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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.