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Finding the Fourth Proportional to 106,543.86, 159,800.70 and 43,391.52

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Solution

The fourth proportional to 106,543.86, 159,800.70 and 43,391.52 is: 65,081.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,543.86 : 159,800.70 = 43,391.52 : x
  2. Step 2: Convert to fraction form
    106,543.86/159,800.70 = 43,391.52/x
  3. Step 3: Cross multiply
    106,543.86x = 159,800.70 × 43,391.52
  4. Step 4: Simplify right side
    106,543.86x = 6,933,995,270.06
  5. Step 5: Solve for x
    x = 6,933,995,270.06/106,543.86
  6. Step 6: Final answer
    x = 65,081.13

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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.