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Finding the Fourth Proportional to 222,463.01, 307,020.96 and 126,984.06

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Solution

The fourth proportional to 222,463.01, 307,020.96 and 126,984.06 is: 175,250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,463.01 : 307,020.96 = 126,984.06 : x
  2. Step 2: Convert to fraction form
    222,463.01/307,020.96 = 126,984.06/x
  3. Step 3: Cross multiply
    222,463.01x = 307,020.96 × 126,984.06
  4. Step 4: Simplify right side
    222,463.01x = 38,986,768,005.90
  5. Step 5: Solve for x
    x = 38,986,768,005.90/222,463.01
  6. Step 6: Final answer
    x = 175,250.57

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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.