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Finding the Fourth Proportional to 275,301.60, 412,952.40 and 97,826.55

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Solution

The fourth proportional to 275,301.60, 412,952.40 and 97,826.55 is: 146,739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,301.60 : 412,952.40 = 97,826.55 : x
  2. Step 2: Convert to fraction form
    275,301.60/412,952.40 = 97,826.55/x
  3. Step 3: Cross multiply
    275,301.60x = 412,952.40 × 97,826.55
  4. Step 4: Simplify right side
    275,301.60x = 40,397,708,606.22
  5. Step 5: Solve for x
    x = 40,397,708,606.22/275,301.60
  6. Step 6: Final answer
    x = 146,739.83

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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.