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Finding the Fourth Proportional to 120,182.68, 180,382.92 and 64,069.84

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Solution

The fourth proportional to 120,182.68, 180,382.92 and 64,069.84 is: 96,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,182.68 : 180,382.92 = 64,069.84 : x
  2. Step 2: Convert to fraction form
    120,182.68/180,382.92 = 64,069.84/x
  3. Step 3: Cross multiply
    120,182.68x = 180,382.92 × 64,069.84
  4. Step 4: Simplify right side
    120,182.68x = 11,557,104,823.13
  5. Step 5: Solve for x
    x = 11,557,104,823.13/120,182.68
  6. Step 6: Final answer
    x = 96,162.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.