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Finding the Fourth Proportional to 245,200.90, 367,983.87 and 182,167.78

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Solution

The fourth proportional to 245,200.90, 367,983.87 and 182,167.78 is: 273,387.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,200.90 : 367,983.87 = 182,167.78 : x
  2. Step 2: Convert to fraction form
    245,200.90/367,983.87 = 182,167.78/x
  3. Step 3: Cross multiply
    245,200.90x = 367,983.87 × 182,167.78
  4. Step 4: Simplify right side
    245,200.90x = 67,034,804,673.71
  5. Step 5: Solve for x
    x = 67,034,804,673.71/245,200.90
  6. Step 6: Final answer
    x = 273,387.27

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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.