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Finding the Fourth Proportional to 226,968, 313,225.56 and 126,366

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Solution

The fourth proportional to 226,968, 313,225.56 and 126,366 is: 174,390.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,968 : 313,225.56 = 126,366 : x
  2. Step 2: Convert to fraction form
    226,968/313,225.56 = 126,366/x
  3. Step 3: Cross multiply
    226,968x = 313,225.56 × 126,366
  4. Step 4: Simplify right side
    226,968x = 39,581,061,114.96
  5. Step 5: Solve for x
    x = 39,581,061,114.96/226,968
  6. Step 6: Final answer
    x = 174,390.49

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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.