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Finding the Fourth Proportional to 234,092.76, 350,215.26 and 180,377.82

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Solution

The fourth proportional to 234,092.76, 350,215.26 and 180,377.82 is: 269,854.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,092.76 : 350,215.26 = 180,377.82 : x
  2. Step 2: Convert to fraction form
    234,092.76/350,215.26 = 180,377.82/x
  3. Step 3: Cross multiply
    234,092.76x = 350,215.26 × 180,377.82
  4. Step 4: Simplify right side
    234,092.76x = 63,171,065,129.53
  5. Step 5: Solve for x
    x = 63,171,065,129.53/234,092.76
  6. Step 6: Final answer
    x = 269,854.84

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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.