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Finding the Fourth Proportional to 275,500.33, 413,061.82 and 140,302.69

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Solution

The fourth proportional to 275,500.33, 413,061.82 and 140,302.69 is: 210,357.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,500.33 : 413,061.82 = 140,302.69 : x
  2. Step 2: Convert to fraction form
    275,500.33/413,061.82 = 140,302.69/x
  3. Step 3: Cross multiply
    275,500.33x = 413,061.82 × 140,302.69
  4. Step 4: Simplify right side
    275,500.33x = 57,953,683,098.88
  5. Step 5: Solve for x
    x = 57,953,683,098.88/275,500.33
  6. Step 6: Final answer
    x = 210,357.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.