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Finding the Fourth Proportional to 297,202.64, 410,141.14 and 161,242.31

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Solution

The fourth proportional to 297,202.64, 410,141.14 and 161,242.31 is: 222,515.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,202.64 : 410,141.14 = 161,242.31 : x
  2. Step 2: Convert to fraction form
    297,202.64/410,141.14 = 161,242.31/x
  3. Step 3: Cross multiply
    297,202.64x = 410,141.14 × 161,242.31
  4. Step 4: Simplify right side
    297,202.64x = 66,132,105,461.88
  5. Step 5: Solve for x
    x = 66,132,105,461.88/297,202.64
  6. Step 6: Final answer
    x = 222,515.21

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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.