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Finding the Fourth Proportional to 270,307.38, 373,009.14 and 149,441.61

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Solution

The fourth proportional to 270,307.38, 373,009.14 and 149,441.61 is: 206,221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,307.38 : 373,009.14 = 149,441.61 : x
  2. Step 2: Convert to fraction form
    270,307.38/373,009.14 = 149,441.61/x
  3. Step 3: Cross multiply
    270,307.38x = 373,009.14 × 149,441.61
  4. Step 4: Simplify right side
    270,307.38x = 55,743,086,426.32
  5. Step 5: Solve for x
    x = 55,743,086,426.32/270,307.38
  6. Step 6: Final answer
    x = 206,221.10

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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.