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Finding the Fourth Proportional to 194,377.96, 268,253.94 and 146,546.92

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Solution

The fourth proportional to 194,377.96, 268,253.94 and 146,546.92 is: 202,244.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,377.96 : 268,253.94 = 146,546.92 : x
  2. Step 2: Convert to fraction form
    194,377.96/268,253.94 = 146,546.92/x
  3. Step 3: Cross multiply
    194,377.96x = 268,253.94 × 146,546.92
  4. Step 4: Simplify right side
    194,377.96x = 39,311,788,684.86
  5. Step 5: Solve for x
    x = 39,311,788,684.86/194,377.96
  6. Step 6: Final answer
    x = 202,244.06

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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.