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Finding the Fourth Proportional to 297,101.52, 409,998.92 and 161,134.92

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Solution

The fourth proportional to 297,101.52, 409,998.92 and 161,134.92 is: 222,365.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,101.52 : 409,998.92 = 161,134.92 : x
  2. Step 2: Convert to fraction form
    297,101.52/409,998.92 = 161,134.92/x
  3. Step 3: Cross multiply
    297,101.52x = 409,998.92 × 161,134.92
  4. Step 4: Simplify right side
    297,101.52x = 66,065,142,368.61
  5. Step 5: Solve for x
    x = 66,065,142,368.61/297,101.52
  6. Step 6: Final answer
    x = 222,365.55

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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.