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Finding the Fourth Proportional to 78,190.65, 107,897.67 and 44,200.76

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Solution

The fourth proportional to 78,190.65, 107,897.67 and 44,200.76 is: 60,993.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,190.65 : 107,897.67 = 44,200.76 : x
  2. Step 2: Convert to fraction form
    78,190.65/107,897.67 = 44,200.76/x
  3. Step 3: Cross multiply
    78,190.65x = 107,897.67 × 44,200.76
  4. Step 4: Simplify right side
    78,190.65x = 4,769,158,476.74
  5. Step 5: Solve for x
    x = 4,769,158,476.74/78,190.65
  6. Step 6: Final answer
    x = 60,993.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.