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Finding the Fourth Proportional to 279,084.72, 418,644.84 and 92,097.84

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Solution

The fourth proportional to 279,084.72, 418,644.84 and 92,097.84 is: 138,152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,084.72 : 418,644.84 = 92,097.84 : x
  2. Step 2: Convert to fraction form
    279,084.72/418,644.84 = 92,097.84/x
  3. Step 3: Cross multiply
    279,084.72x = 418,644.84 × 92,097.84
  4. Step 4: Simplify right side
    279,084.72x = 38,556,285,491.15
  5. Step 5: Solve for x
    x = 38,556,285,491.15/279,084.72
  6. Step 6: Final answer
    x = 138,152.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.