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Finding the Fourth Proportional to 231,181, 319,030.16 and 125,197

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Solution

The fourth proportional to 231,181, 319,030.16 and 125,197 is: 172,772.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,181 : 319,030.16 = 125,197 : x
  2. Step 2: Convert to fraction form
    231,181/319,030.16 = 125,197/x
  3. Step 3: Cross multiply
    231,181x = 319,030.16 × 125,197
  4. Step 4: Simplify right side
    231,181x = 39,941,618,941.52
  5. Step 5: Solve for x
    x = 39,941,618,941.52/231,181
  6. Step 6: Final answer
    x = 172,772.07

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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.