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Finding the Fourth Proportional to 294,906.80, 442,273.80 and 137,097.20

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Solution

The fourth proportional to 294,906.80, 442,273.80 and 137,097.20 is: 205,605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,906.80 : 442,273.80 = 137,097.20 : x
  2. Step 2: Convert to fraction form
    294,906.80/442,273.80 = 137,097.20/x
  3. Step 3: Cross multiply
    294,906.80x = 442,273.80 × 137,097.20
  4. Step 4: Simplify right side
    294,906.80x = 60,634,499,613.36
  5. Step 5: Solve for x
    x = 60,634,499,613.36/294,906.80
  6. Step 6: Final answer
    x = 205,605.63

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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.