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Finding the Fourth Proportional to 194,363.76, 268,211.15 and 107,146.05

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Solution

The fourth proportional to 194,363.76, 268,211.15 and 107,146.05 is: 147,855.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,363.76 : 268,211.15 = 107,146.05 : x
  2. Step 2: Convert to fraction form
    194,363.76/268,211.15 = 107,146.05/x
  3. Step 3: Cross multiply
    194,363.76x = 268,211.15 × 107,146.05
  4. Step 4: Simplify right side
    194,363.76x = 28,737,764,752.73
  5. Step 5: Solve for x
    x = 28,737,764,752.73/194,363.76
  6. Step 6: Final answer
    x = 147,855.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.