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Finding the Fourth Proportional to 199,278.10, 279,196.70 and 199,278.10

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Solution

The fourth proportional to 199,278.10, 279,196.70 and 199,278.10 is: 279,196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,278.10 : 279,196.70 = 199,278.10 : x
  2. Step 2: Convert to fraction form
    199,278.10/279,196.70 = 199,278.10/x
  3. Step 3: Cross multiply
    199,278.10x = 279,196.70 × 199,278.10
  4. Step 4: Simplify right side
    199,278.10x = 55,637,787,902.27
  5. Step 5: Solve for x
    x = 55,637,787,902.27/199,278.10
  6. Step 6: Final answer
    x = 279,196.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.