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Finding the Fourth Proportional to 261,063.88, 360,326.10 and 147,949

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Solution

The fourth proportional to 261,063.88, 360,326.10 and 147,949 is: 204,202.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,063.88 : 360,326.10 = 147,949 : x
  2. Step 2: Convert to fraction form
    261,063.88/360,326.10 = 147,949/x
  3. Step 3: Cross multiply
    261,063.88x = 360,326.10 × 147,949
  4. Step 4: Simplify right side
    261,063.88x = 53,309,886,168.90
  5. Step 5: Solve for x
    x = 53,309,886,168.90/261,063.88
  6. Step 6: Final answer
    x = 204,202.46

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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.