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Finding the Fourth Proportional to 225,953.12, 338,986.18 and 159,523

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Solution

The fourth proportional to 225,953.12, 338,986.18 and 159,523 is: 239,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,953.12 : 338,986.18 = 159,523 : x
  2. Step 2: Convert to fraction form
    225,953.12/338,986.18 = 159,523/x
  3. Step 3: Cross multiply
    225,953.12x = 338,986.18 × 159,523
  4. Step 4: Simplify right side
    225,953.12x = 54,076,092,392.14
  5. Step 5: Solve for x
    x = 54,076,092,392.14/225,953.12
  6. Step 6: Final answer
    x = 239,324.39

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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.