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Finding the Fourth Proportional to 231,175.50, 319,022.55 and 125,191.50

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Solution

The fourth proportional to 231,175.50, 319,022.55 and 125,191.50 is: 172,764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,175.50 : 319,022.55 = 125,191.50 : x
  2. Step 2: Convert to fraction form
    231,175.50/319,022.55 = 125,191.50/x
  3. Step 3: Cross multiply
    231,175.50x = 319,022.55 × 125,191.50
  4. Step 4: Simplify right side
    231,175.50x = 39,938,911,568.33
  5. Step 5: Solve for x
    x = 39,938,911,568.33/231,175.50
  6. Step 6: Final answer
    x = 172,764.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.