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Finding the Fourth Proportional to 150,854, 226,310.12 and 57,352.46

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Solution

The fourth proportional to 150,854, 226,310.12 and 57,352.46 is: 86,039.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,854 : 226,310.12 = 57,352.46 : x
  2. Step 2: Convert to fraction form
    150,854/226,310.12 = 57,352.46/x
  3. Step 3: Cross multiply
    150,854x = 226,310.12 × 57,352.46
  4. Step 4: Simplify right side
    150,854x = 12,979,442,104.90
  5. Step 5: Solve for x
    x = 12,979,442,104.90/150,854
  6. Step 6: Final answer
    x = 86,039.76

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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.