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Finding the Fourth Proportional to 162,912.84, 224,819.58 and 91,293.38

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Solution

The fourth proportional to 162,912.84, 224,819.58 and 91,293.38 is: 125,984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,912.84 : 224,819.58 = 91,293.38 : x
  2. Step 2: Convert to fraction form
    162,912.84/224,819.58 = 91,293.38/x
  3. Step 3: Cross multiply
    162,912.84x = 224,819.58 × 91,293.38
  4. Step 4: Simplify right side
    162,912.84x = 20,524,538,639.42
  5. Step 5: Solve for x
    x = 20,524,538,639.42/162,912.84
  6. Step 6: Final answer
    x = 125,984.78

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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.