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Finding the Fourth Proportional to 297,181, 410,117 and 163,045

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Solution

The fourth proportional to 297,181, 410,117 and 163,045 is: 225,006.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,181 : 410,117 = 163,045 : x
  2. Step 2: Convert to fraction form
    297,181/410,117 = 163,045/x
  3. Step 3: Cross multiply
    297,181x = 410,117 × 163,045
  4. Step 4: Simplify right side
    297,181x = 66,867,526,265
  5. Step 5: Solve for x
    x = 66,867,526,265/297,181
  6. Step 6: Final answer
    x = 225,006.06

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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.