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Finding the Fourth Proportional to 194,095.84, 290,677.20 and 110,737.12

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Solution

The fourth proportional to 194,095.84, 290,677.20 and 110,737.12 is: 165,839.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,095.84 : 290,677.20 = 110,737.12 : x
  2. Step 2: Convert to fraction form
    194,095.84/290,677.20 = 110,737.12/x
  3. Step 3: Cross multiply
    194,095.84x = 290,677.20 × 110,737.12
  4. Step 4: Simplify right side
    194,095.84x = 32,188,755,977.66
  5. Step 5: Solve for x
    x = 32,188,755,977.66/194,095.84
  6. Step 6: Final answer
    x = 165,839.49

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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.