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Finding the Fourth Proportional to 227,593, 314,078.12 and 126,991

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Solution

The fourth proportional to 227,593, 314,078.12 and 126,991 is: 175,247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,593 : 314,078.12 = 126,991 : x
  2. Step 2: Convert to fraction form
    227,593/314,078.12 = 126,991/x
  3. Step 3: Cross multiply
    227,593x = 314,078.12 × 126,991
  4. Step 4: Simplify right side
    227,593x = 39,885,094,536.92
  5. Step 5: Solve for x
    x = 39,885,094,536.92/227,593
  6. Step 6: Final answer
    x = 175,247.46

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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.