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Finding the Fourth Proportional to 231,886.80, 320,033.43 and 136,402.38

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Solution

The fourth proportional to 231,886.80, 320,033.43 and 136,402.38 is: 188,252.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,886.80 : 320,033.43 = 136,402.38 : x
  2. Step 2: Convert to fraction form
    231,886.80/320,033.43 = 136,402.38/x
  3. Step 3: Cross multiply
    231,886.80x = 320,033.43 × 136,402.38
  4. Step 4: Simplify right side
    231,886.80x = 43,653,321,531.56
  5. Step 5: Solve for x
    x = 43,653,321,531.56/231,886.80
  6. Step 6: Final answer
    x = 188,252.72

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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.