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Finding the Fourth Proportional to 227,609.52, 314,132.76 and 127,014

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Solution

The fourth proportional to 227,609.52, 314,132.76 and 127,014 is: 175,296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,609.52 : 314,132.76 = 127,014 : x
  2. Step 2: Convert to fraction form
    227,609.52/314,132.76 = 127,014/x
  3. Step 3: Cross multiply
    227,609.52x = 314,132.76 × 127,014
  4. Step 4: Simplify right side
    227,609.52x = 39,899,258,378.64
  5. Step 5: Solve for x
    x = 39,899,258,378.64/227,609.52
  6. Step 6: Final answer
    x = 175,296.97

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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.