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Finding the Fourth Proportional to 120,173.68, 165,854.10 and 69,872.68

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Solution

The fourth proportional to 120,173.68, 165,854.10 and 69,872.68 is: 96,432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,173.68 : 165,854.10 = 69,872.68 : x
  2. Step 2: Convert to fraction form
    120,173.68/165,854.10 = 69,872.68/x
  3. Step 3: Cross multiply
    120,173.68x = 165,854.10 × 69,872.68
  4. Step 4: Simplify right side
    120,173.68x = 11,588,670,455.99
  5. Step 5: Solve for x
    x = 11,588,670,455.99/120,173.68
  6. Step 6: Final answer
    x = 96,432.68

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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.