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Finding the Fourth Proportional to 162,857.32, 224,740.47 and 91,236.85

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Solution

The fourth proportional to 162,857.32, 224,740.47 and 91,236.85 is: 125,905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,857.32 : 224,740.47 = 91,236.85 : x
  2. Step 2: Convert to fraction form
    162,857.32/224,740.47 = 91,236.85/x
  3. Step 3: Cross multiply
    162,857.32x = 224,740.47 × 91,236.85
  4. Step 4: Simplify right side
    162,857.32x = 20,504,612,330.61
  5. Step 5: Solve for x
    x = 20,504,612,330.61/162,857.32
  6. Step 6: Final answer
    x = 125,905.38

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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.