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Finding the Fourth Proportional to 227,887.71, 314,468.88 and 125,912.06

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Solution

The fourth proportional to 227,887.71, 314,468.88 and 125,912.06 is: 173,749.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,887.71 : 314,468.88 = 125,912.06 : x
  2. Step 2: Convert to fraction form
    227,887.71/314,468.88 = 125,912.06/x
  3. Step 3: Cross multiply
    227,887.71x = 314,468.88 × 125,912.06
  4. Step 4: Simplify right side
    227,887.71x = 39,595,422,914.35
  5. Step 5: Solve for x
    x = 39,595,422,914.35/227,887.71
  6. Step 6: Final answer
    x = 173,749.71

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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.