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Finding the Fourth Proportional to 275,343.92, 412,771.20 and 97,827.52

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Solution

The fourth proportional to 275,343.92, 412,771.20 and 97,827.52 is: 146,654.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,343.92 : 412,771.20 = 97,827.52 : x
  2. Step 2: Convert to fraction form
    275,343.92/412,771.20 = 97,827.52/x
  3. Step 3: Cross multiply
    275,343.92x = 412,771.20 × 97,827.52
  4. Step 4: Simplify right side
    275,343.92x = 40,380,382,823.42
  5. Step 5: Solve for x
    x = 40,380,382,823.42/275,343.92
  6. Step 6: Final answer
    x = 146,654.35

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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.