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Finding the Fourth Proportional to 227,200, 313,522.96 and 130,383.36

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Solution

The fourth proportional to 227,200, 313,522.96 and 130,383.36 is: 179,921.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,200 : 313,522.96 = 130,383.36 : x
  2. Step 2: Convert to fraction form
    227,200/313,522.96 = 130,383.36/x
  3. Step 3: Cross multiply
    227,200x = 313,522.96 × 130,383.36
  4. Step 4: Simplify right side
    227,200x = 40,878,176,961.95
  5. Step 5: Solve for x
    x = 40,878,176,961.95/227,200
  6. Step 6: Final answer
    x = 179,921.55

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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.