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Finding the Fourth Proportional to 231,393.71, 347,134 and 105,042.82

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Solution

The fourth proportional to 231,393.71, 347,134 and 105,042.82 is: 157,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,393.71 : 347,134 = 105,042.82 : x
  2. Step 2: Convert to fraction form
    231,393.71/347,134 = 105,042.82/x
  3. Step 3: Cross multiply
    231,393.71x = 347,134 × 105,042.82
  4. Step 4: Simplify right side
    231,393.71x = 36,463,934,277.88
  5. Step 5: Solve for x
    x = 36,463,934,277.88/231,393.71
  6. Step 6: Final answer
    x = 157,583.95

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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.