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Finding the Fourth Proportional to 144,184, 198,971.76 and 80,522.72

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Solution

The fourth proportional to 144,184, 198,971.76 and 80,522.72 is: 111,120.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,184 : 198,971.76 = 80,522.72 : x
  2. Step 2: Convert to fraction form
    144,184/198,971.76 = 80,522.72/x
  3. Step 3: Cross multiply
    144,184x = 198,971.76 × 80,522.72
  4. Step 4: Simplify right side
    144,184x = 16,021,747,318.39
  5. Step 5: Solve for x
    x = 16,021,747,318.39/144,184
  6. Step 6: Final answer
    x = 111,120.15

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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.