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Finding the Fourth Proportional to 181,424.24, 250,278.32 and 156,230

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Solution

The fourth proportional to 181,424.24, 250,278.32 and 156,230 is: 215,522.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,424.24 : 250,278.32 = 156,230 : x
  2. Step 2: Convert to fraction form
    181,424.24/250,278.32 = 156,230/x
  3. Step 3: Cross multiply
    181,424.24x = 250,278.32 × 156,230
  4. Step 4: Simplify right side
    181,424.24x = 39,100,981,933.60
  5. Step 5: Solve for x
    x = 39,100,981,933.60/181,424.24
  6. Step 6: Final answer
    x = 215,522.37

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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.