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Finding the Fourth Proportional to 227,540.25, 314,005.68 and 126,938.25

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Solution

The fourth proportional to 227,540.25, 314,005.68 and 126,938.25 is: 175,174.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,540.25 : 314,005.68 = 126,938.25 : x
  2. Step 2: Convert to fraction form
    227,540.25/314,005.68 = 126,938.25/x
  3. Step 3: Cross multiply
    227,540.25x = 314,005.68 × 126,938.25
  4. Step 4: Simplify right side
    227,540.25x = 39,859,331,509.26
  5. Step 5: Solve for x
    x = 39,859,331,509.26/227,540.25
  6. Step 6: Final answer
    x = 175,174.86

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1.5x scale

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.