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Finding the Fourth Proportional to 78,186.56, 117,327.84 and 65,199.68

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Solution

The fourth proportional to 78,186.56, 117,327.84 and 65,199.68 is: 97,839.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,186.56 : 117,327.84 = 65,199.68 : x
  2. Step 2: Convert to fraction form
    78,186.56/117,327.84 = 65,199.68/x
  3. Step 3: Cross multiply
    78,186.56x = 117,327.84 × 65,199.68
  4. Step 4: Simplify right side
    78,186.56x = 7,649,737,623.09
  5. Step 5: Solve for x
    x = 7,649,737,623.09/78,186.56
  6. Step 6: Final answer
    x = 97,839.55

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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.