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Finding the Fourth Proportional to 164,874.46, 227,506.07 and 97,793.50

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Solution

The fourth proportional to 164,874.46, 227,506.07 and 97,793.50 is: 134,942.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,874.46 : 227,506.07 = 97,793.50 : x
  2. Step 2: Convert to fraction form
    164,874.46/227,506.07 = 97,793.50/x
  3. Step 3: Cross multiply
    164,874.46x = 227,506.07 × 97,793.50
  4. Step 4: Simplify right side
    164,874.46x = 22,248,614,856.55
  5. Step 5: Solve for x
    x = 22,248,614,856.55/164,874.46
  6. Step 6: Final answer
    x = 134,942.76

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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.