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Finding the Fourth Proportional to 264,105.30, 396,071.55 and 97,871.70

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Solution

The fourth proportional to 264,105.30, 396,071.55 and 97,871.70 is: 146,775.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,105.30 : 396,071.55 = 97,871.70 : x
  2. Step 2: Convert to fraction form
    264,105.30/396,071.55 = 97,871.70/x
  3. Step 3: Cross multiply
    264,105.30x = 396,071.55 × 97,871.70
  4. Step 4: Simplify right side
    264,105.30x = 38,764,195,920.14
  5. Step 5: Solve for x
    x = 38,764,195,920.14/264,105.30
  6. Step 6: Final answer
    x = 146,775.53

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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.