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Finding the Fourth Proportional to 106,808.72, 160,223.88 and 36,678.56

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Solution

The fourth proportional to 106,808.72, 160,223.88 and 36,678.56 is: 55,021.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,808.72 : 160,223.88 = 36,678.56 : x
  2. Step 2: Convert to fraction form
    106,808.72/160,223.88 = 36,678.56/x
  3. Step 3: Cross multiply
    106,808.72x = 160,223.88 × 36,678.56
  4. Step 4: Simplify right side
    106,808.72x = 5,876,781,196.01
  5. Step 5: Solve for x
    x = 5,876,781,196.01/106,808.72
  6. Step 6: Final answer
    x = 55,021.55

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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.