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Finding the Fourth Proportional to 297,102.93, 410,000.17 and 161,140.11

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Solution

The fourth proportional to 297,102.93, 410,000.17 and 161,140.11 is: 222,372.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,102.93 : 410,000.17 = 161,140.11 : x
  2. Step 2: Convert to fraction form
    297,102.93/410,000.17 = 161,140.11/x
  3. Step 3: Cross multiply
    297,102.93x = 410,000.17 × 161,140.11
  4. Step 4: Simplify right side
    297,102.93x = 66,067,472,493.82
  5. Step 5: Solve for x
    x = 66,067,472,493.82/297,102.93
  6. Step 6: Final answer
    x = 222,372.34

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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.