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Finding the Fourth Proportional to 106,814.25, 160,256.44 and 43,687.44

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Solution

The fourth proportional to 106,814.25, 160,256.44 and 43,687.44 is: 65,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,814.25 : 160,256.44 = 43,687.44 : x
  2. Step 2: Convert to fraction form
    106,814.25/160,256.44 = 43,687.44/x
  3. Step 3: Cross multiply
    106,814.25x = 160,256.44 × 43,687.44
  4. Step 4: Simplify right side
    106,814.25x = 7,001,193,661.72
  5. Step 5: Solve for x
    x = 7,001,193,661.72/106,814.25
  6. Step 6: Final answer
    x = 65,545.50

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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.