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Finding the Fourth Proportional to 270,752.97, 406,502.15 and 137,723.25

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Solution

The fourth proportional to 270,752.97, 406,502.15 and 137,723.25 is: 206,774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,752.97 : 406,502.15 = 137,723.25 : x
  2. Step 2: Convert to fraction form
    270,752.97/406,502.15 = 137,723.25/x
  3. Step 3: Cross multiply
    270,752.97x = 406,502.15 × 137,723.25
  4. Step 4: Simplify right side
    270,752.97x = 55,984,796,541.37
  5. Step 5: Solve for x
    x = 55,984,796,541.37/270,752.97
  6. Step 6: Final answer
    x = 206,774.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.