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Finding the Fourth Proportional to 162,822.69, 224,709.30 and 91,217.43

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Solution

The fourth proportional to 162,822.69, 224,709.30 and 91,217.43 is: 125,887.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,822.69 : 224,709.30 = 91,217.43 : x
  2. Step 2: Convert to fraction form
    162,822.69/224,709.30 = 91,217.43/x
  3. Step 3: Cross multiply
    162,822.69x = 224,709.30 × 91,217.43
  4. Step 4: Simplify right side
    162,822.69x = 20,497,404,843.10
  5. Step 5: Solve for x
    x = 20,497,404,843.10/162,822.69
  6. Step 6: Final answer
    x = 125,887.89

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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.