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Finding the Fourth Proportional to 231,382.95, 347,006.34 and 104,950.05

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Solution

The fourth proportional to 231,382.95, 347,006.34 and 104,950.05 is: 157,394.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,382.95 : 347,006.34 = 104,950.05 : x
  2. Step 2: Convert to fraction form
    231,382.95/347,006.34 = 104,950.05/x
  3. Step 3: Cross multiply
    231,382.95x = 347,006.34 × 104,950.05
  4. Step 4: Simplify right side
    231,382.95x = 36,418,332,733.32
  5. Step 5: Solve for x
    x = 36,418,332,733.32/231,382.95
  6. Step 6: Final answer
    x = 157,394.19

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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.