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Finding the Fourth Proportional to 260,973.92, 360,061.65 and 146,236.61

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Solution

The fourth proportional to 260,973.92, 360,061.65 and 146,236.61 is: 201,760.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,973.92 : 360,061.65 = 146,236.61 : x
  2. Step 2: Convert to fraction form
    260,973.92/360,061.65 = 146,236.61/x
  3. Step 3: Cross multiply
    260,973.92x = 360,061.65 × 146,236.61
  4. Step 4: Simplify right side
    260,973.92x = 52,654,193,286.70
  5. Step 5: Solve for x
    x = 52,654,193,286.70/260,973.92
  6. Step 6: Final answer
    x = 201,760.37

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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.