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Finding the Fourth Proportional to 223,791.38, 308,832.16 and 123,189.38

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Solution

The fourth proportional to 223,791.38, 308,832.16 and 123,189.38 is: 170,001.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,791.38 : 308,832.16 = 123,189.38 : x
  2. Step 2: Convert to fraction form
    223,791.38/308,832.16 = 123,189.38/x
  3. Step 3: Cross multiply
    223,791.38x = 308,832.16 × 123,189.38
  4. Step 4: Simplify right side
    223,791.38x = 38,044,842,314.46
  5. Step 5: Solve for x
    x = 38,044,842,314.46/223,791.38
  6. Step 6: Final answer
    x = 170,001.38

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1.5x scale

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.