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Finding the Fourth Proportional to 106,849.30, 160,214.71 and 43,713.78

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Solution

The fourth proportional to 106,849.30, 160,214.71 and 43,713.78 is: 65,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,849.30 : 160,214.71 = 43,713.78 : x
  2. Step 2: Convert to fraction form
    106,849.30/160,214.71 = 43,713.78/x
  3. Step 3: Cross multiply
    106,849.30x = 160,214.71 × 43,713.78
  4. Step 4: Simplify right side
    106,849.30x = 7,003,590,585.70
  5. Step 5: Solve for x
    x = 7,003,590,585.70/106,849.30
  6. Step 6: Final answer
    x = 65,546.43

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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.