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Finding the Fourth Proportional to 227,461.64, 313,914.48 and 125,506.78

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Solution

The fourth proportional to 227,461.64, 313,914.48 and 125,506.78 is: 173,208.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,461.64 : 313,914.48 = 125,506.78 : x
  2. Step 2: Convert to fraction form
    227,461.64/313,914.48 = 125,506.78/x
  3. Step 3: Cross multiply
    227,461.64x = 313,914.48 × 125,506.78
  4. Step 4: Simplify right side
    227,461.64x = 39,398,395,580.17
  5. Step 5: Solve for x
    x = 39,398,395,580.17/227,461.64
  6. Step 6: Final answer
    x = 173,208.97

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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.