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Finding the Fourth Proportional to 129,165, 178,237.36 and 71,799.81

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Solution

The fourth proportional to 129,165, 178,237.36 and 71,799.81 is: 99,077.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,165 : 178,237.36 = 71,799.81 : x
  2. Step 2: Convert to fraction form
    129,165/178,237.36 = 71,799.81/x
  3. Step 3: Cross multiply
    129,165x = 178,237.36 × 71,799.81
  4. Step 4: Simplify right side
    129,165x = 12,797,408,582.90
  5. Step 5: Solve for x
    x = 12,797,408,582.90/129,165
  6. Step 6: Final answer
    x = 99,077.99

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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.