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Finding the Fourth Proportional to 265,916.38, 366,965.11 and 145,057.82

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Solution

The fourth proportional to 265,916.38, 366,965.11 and 145,057.82 is: 200,180.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,916.38 : 366,965.11 = 145,057.82 : x
  2. Step 2: Convert to fraction form
    265,916.38/366,965.11 = 145,057.82/x
  3. Step 3: Cross multiply
    265,916.38x = 366,965.11 × 145,057.82
  4. Step 4: Simplify right side
    265,916.38x = 53,231,158,872.66
  5. Step 5: Solve for x
    x = 53,231,158,872.66/265,916.38
  6. Step 6: Final answer
    x = 200,180.07

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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.