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Finding the Fourth Proportional to 120,780.72, 166,756.32 and 78,459.84

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Solution

The fourth proportional to 120,780.72, 166,756.32 and 78,459.84 is: 108,325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,780.72 : 166,756.32 = 78,459.84 : x
  2. Step 2: Convert to fraction form
    120,780.72/166,756.32 = 78,459.84/x
  3. Step 3: Cross multiply
    120,780.72x = 166,756.32 × 78,459.84
  4. Step 4: Simplify right side
    120,780.72x = 13,083,674,186.19
  5. Step 5: Solve for x
    x = 13,083,674,186.19/120,780.72
  6. Step 6: Final answer
    x = 108,325.85

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