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Finding the Fourth Proportional to 231,393.83, 347,134.14 and 105,042.98

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Solution

The fourth proportional to 231,393.83, 347,134.14 and 105,042.98 is: 157,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,393.83 : 347,134.14 = 105,042.98 : x
  2. Step 2: Convert to fraction form
    231,393.83/347,134.14 = 105,042.98/x
  3. Step 3: Cross multiply
    231,393.83x = 347,134.14 × 105,042.98
  4. Step 4: Simplify right side
    231,393.83x = 36,464,003,218.97
  5. Step 5: Solve for x
    x = 36,464,003,218.97/231,393.83
  6. Step 6: Final answer
    x = 157,584.17

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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.