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Finding the Fourth Proportional to 80,178.75, 120,265.64 and 38,089.12

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Solution

The fourth proportional to 80,178.75, 120,265.64 and 38,089.12 is: 57,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,178.75 : 120,265.64 = 38,089.12 : x
  2. Step 2: Convert to fraction form
    80,178.75/120,265.64 = 38,089.12/x
  3. Step 3: Cross multiply
    80,178.75x = 120,265.64 × 38,089.12
  4. Step 4: Simplify right side
    80,178.75x = 4,580,812,393.84
  5. Step 5: Solve for x
    x = 4,580,812,393.84/80,178.75
  6. Step 6: Final answer
    x = 57,132.50

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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.