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Finding the Fourth Proportional to 261,456.69, 360,817.41 and 146,742.46

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Solution

The fourth proportional to 261,456.69, 360,817.41 and 146,742.46 is: 202,508.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,456.69 : 360,817.41 = 146,742.46 : x
  2. Step 2: Convert to fraction form
    261,456.69/360,817.41 = 146,742.46/x
  3. Step 3: Cross multiply
    261,456.69x = 360,817.41 × 146,742.46
  4. Step 4: Simplify right side
    261,456.69x = 52,947,234,604.56
  5. Step 5: Solve for x
    x = 52,947,234,604.56/261,456.69
  6. Step 6: Final answer
    x = 202,508.63

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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.