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Finding the Fourth Proportional to 279,105.84, 418,724.10 and 92,117.16

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Solution

The fourth proportional to 279,105.84, 418,724.10 and 92,117.16 is: 138,197.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,105.84 : 418,724.10 = 92,117.16 : x
  2. Step 2: Convert to fraction form
    279,105.84/418,724.10 = 92,117.16/x
  3. Step 3: Cross multiply
    279,105.84x = 418,724.10 × 92,117.16
  4. Step 4: Simplify right side
    279,105.84x = 38,571,674,915.56
  5. Step 5: Solve for x
    x = 38,571,674,915.56/279,105.84
  6. Step 6: Final answer
    x = 138,197.31

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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.