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Finding the Fourth Proportional to 270,710.16, 373,580.73 and 149,859.78

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Solution

The fourth proportional to 270,710.16, 373,580.73 and 149,859.78 is: 206,806.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,710.16 : 373,580.73 = 149,859.78 : x
  2. Step 2: Convert to fraction form
    270,710.16/373,580.73 = 149,859.78/x
  3. Step 3: Cross multiply
    270,710.16x = 373,580.73 × 149,859.78
  4. Step 4: Simplify right side
    270,710.16x = 55,984,726,010.04
  5. Step 5: Solve for x
    x = 55,984,726,010.04/270,710.16
  6. Step 6: Final answer
    x = 206,806.89

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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.