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Finding the Fourth Proportional to 227,698.68, 314,241.42 and 125,743.56

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Solution

The fourth proportional to 227,698.68, 314,241.42 and 125,743.56 is: 173,535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,698.68 : 314,241.42 = 125,743.56 : x
  2. Step 2: Convert to fraction form
    227,698.68/314,241.42 = 125,743.56/x
  3. Step 3: Cross multiply
    227,698.68x = 314,241.42 × 125,743.56
  4. Step 4: Simplify right side
    227,698.68x = 39,513,834,850.26
  5. Step 5: Solve for x
    x = 39,513,834,850.26/227,698.68
  6. Step 6: Final answer
    x = 173,535.63

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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.