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Finding the Fourth Proportional to 180,229.32, 248,709.42 and 107,644.52

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Solution

The fourth proportional to 180,229.32, 248,709.42 and 107,644.52 is: 148,545.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,229.32 : 248,709.42 = 107,644.52 : x
  2. Step 2: Convert to fraction form
    180,229.32/248,709.42 = 107,644.52/x
  3. Step 3: Cross multiply
    180,229.32x = 248,709.42 × 107,644.52
  4. Step 4: Simplify right side
    180,229.32x = 26,772,206,135.38
  5. Step 5: Solve for x
    x = 26,772,206,135.38/180,229.32
  6. Step 6: Final answer
    x = 148,545.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.