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Finding the Fourth Proportional to 265,872.30, 366,908.14 and 145,013.58

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Solution

The fourth proportional to 265,872.30, 366,908.14 and 145,013.58 is: 200,121.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,872.30 : 366,908.14 = 145,013.58 : x
  2. Step 2: Convert to fraction form
    265,872.30/366,908.14 = 145,013.58/x
  3. Step 3: Cross multiply
    265,872.30x = 366,908.14 × 145,013.58
  4. Step 4: Simplify right side
    265,872.30x = 53,206,662,912.54
  5. Step 5: Solve for x
    x = 53,206,662,912.54/265,872.30
  6. Step 6: Final answer
    x = 200,121.13

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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.