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Finding the Fourth Proportional to 231,650.82, 346,888.17 and 194,112.18

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Solution

The fourth proportional to 231,650.82, 346,888.17 and 194,112.18 is: 290,675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,650.82 : 346,888.17 = 194,112.18 : x
  2. Step 2: Convert to fraction form
    231,650.82/346,888.17 = 194,112.18/x
  3. Step 3: Cross multiply
    231,650.82x = 346,888.17 × 194,112.18
  4. Step 4: Simplify right side
    231,650.82x = 67,335,218,894.91
  5. Step 5: Solve for x
    x = 67,335,218,894.91/231,650.82
  6. Step 6: Final answer
    x = 290,675.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.