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Finding the Fourth Proportional to 273,164.78, 409,808.06 and 83,651.78

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Solution

The fourth proportional to 273,164.78, 409,808.06 and 83,651.78 is: 125,496.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,164.78 : 409,808.06 = 83,651.78 : x
  2. Step 2: Convert to fraction form
    273,164.78/409,808.06 = 83,651.78/x
  3. Step 3: Cross multiply
    273,164.78x = 409,808.06 × 83,651.78
  4. Step 4: Simplify right side
    273,164.78x = 34,281,173,677.35
  5. Step 5: Solve for x
    x = 34,281,173,677.35/273,164.78
  6. Step 6: Final answer
    x = 125,496.32

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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.