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Finding the Fourth Proportional to 227,019.75, 313,296.98 and 126,417.75

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Solution

The fourth proportional to 227,019.75, 313,296.98 and 126,417.75 is: 174,461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,019.75 : 313,296.98 = 126,417.75 : x
  2. Step 2: Convert to fraction form
    227,019.75/313,296.98 = 126,417.75/x
  3. Step 3: Cross multiply
    227,019.75x = 313,296.98 × 126,417.75
  4. Step 4: Simplify right side
    227,019.75x = 39,606,298,661.31
  5. Step 5: Solve for x
    x = 39,606,298,661.31/227,019.75
  6. Step 6: Final answer
    x = 174,461.91

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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.