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Finding the Fourth Proportional to 273,614.24, 410,404.95 and 84,076.40

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Solution

The fourth proportional to 273,614.24, 410,404.95 and 84,076.40 is: 126,109.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,614.24 : 410,404.95 = 84,076.40 : x
  2. Step 2: Convert to fraction form
    273,614.24/410,404.95 = 84,076.40/x
  3. Step 3: Cross multiply
    273,614.24x = 410,404.95 × 84,076.40
  4. Step 4: Simplify right side
    273,614.24x = 34,505,368,686.16
  5. Step 5: Solve for x
    x = 34,505,368,686.16/273,614.24
  6. Step 6: Final answer
    x = 126,109.55

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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.