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Finding the Fourth Proportional to 120,535.68, 166,343.52 and 72,779.76

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Solution

The fourth proportional to 120,535.68, 166,343.52 and 72,779.76 is: 100,438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,535.68 : 166,343.52 = 72,779.76 : x
  2. Step 2: Convert to fraction form
    120,535.68/166,343.52 = 72,779.76/x
  3. Step 3: Cross multiply
    120,535.68x = 166,343.52 × 72,779.76
  4. Step 4: Simplify right side
    120,535.68x = 12,106,441,463.16
  5. Step 5: Solve for x
    x = 12,106,441,463.16/120,535.68
  6. Step 6: Final answer
    x = 100,438.65

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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.