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Finding the Fourth Proportional to 297,158.91, 410,077.53 and 161,193.12

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Solution

The fourth proportional to 297,158.91, 410,077.53 and 161,193.12 is: 222,445.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,158.91 : 410,077.53 = 161,193.12 : x
  2. Step 2: Convert to fraction form
    297,158.91/410,077.53 = 161,193.12/x
  3. Step 3: Cross multiply
    297,158.91x = 410,077.53 × 161,193.12
  4. Step 4: Simplify right side
    297,158.91x = 66,101,676,502.59
  5. Step 5: Solve for x
    x = 66,101,676,502.59/297,158.91
  6. Step 6: Final answer
    x = 222,445.55

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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.