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Finding the Fourth Proportional to 154,920.24, 231,793.92 and 91,774.26

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Solution

The fourth proportional to 154,920.24, 231,793.92 and 91,774.26 is: 137,313.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,920.24 : 231,793.92 = 91,774.26 : x
  2. Step 2: Convert to fraction form
    154,920.24/231,793.92 = 91,774.26/x
  3. Step 3: Cross multiply
    154,920.24x = 231,793.92 × 91,774.26
  4. Step 4: Simplify right side
    154,920.24x = 21,272,715,480.50
  5. Step 5: Solve for x
    x = 21,272,715,480.50/154,920.24
  6. Step 6: Final answer
    x = 137,313.98

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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.