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Finding the Fourth Proportional to 120,299.68, 165,899.98 and 89,740.24

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Solution

The fourth proportional to 120,299.68, 165,899.98 and 89,740.24 is: 123,756.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,299.68 : 165,899.98 = 89,740.24 : x
  2. Step 2: Convert to fraction form
    120,299.68/165,899.98 = 89,740.24/x
  3. Step 3: Cross multiply
    120,299.68x = 165,899.98 × 89,740.24
  4. Step 4: Simplify right side
    120,299.68x = 14,887,903,718.62
  5. Step 5: Solve for x
    x = 14,887,903,718.62/120,299.68
  6. Step 6: Final answer
    x = 123,756.80

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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.