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Finding the Fourth Proportional to 227,081.16, 313,367.92 and 126,477

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Solution

The fourth proportional to 227,081.16, 313,367.92 and 126,477 is: 174,535.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,081.16 : 313,367.92 = 126,477 : x
  2. Step 2: Convert to fraction form
    227,081.16/313,367.92 = 126,477/x
  3. Step 3: Cross multiply
    227,081.16x = 313,367.92 × 126,477
  4. Step 4: Simplify right side
    227,081.16x = 39,633,834,417.84
  5. Step 5: Solve for x
    x = 39,633,834,417.84/227,081.16
  6. Step 6: Final answer
    x = 174,535.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.