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Finding the Fourth Proportional to 265,907.25, 366,954.33 and 145,049.07

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Solution

The fourth proportional to 265,907.25, 366,954.33 and 145,049.07 is: 200,168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,907.25 : 366,954.33 = 145,049.07 : x
  2. Step 2: Convert to fraction form
    265,907.25/366,954.33 = 145,049.07/x
  3. Step 3: Cross multiply
    265,907.25x = 366,954.33 × 145,049.07
  4. Step 4: Simplify right side
    265,907.25x = 53,226,384,298.97
  5. Step 5: Solve for x
    x = 53,226,384,298.97/265,907.25
  6. Step 6: Final answer
    x = 200,168.98

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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.