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Finding the Fourth Proportional to 297,154.08, 410,069.16 and 161,185.50

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Solution

The fourth proportional to 297,154.08, 410,069.16 and 161,185.50 is: 222,434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,154.08 : 410,069.16 = 161,185.50 : x
  2. Step 2: Convert to fraction form
    297,154.08/410,069.16 = 161,185.50/x
  3. Step 3: Cross multiply
    297,154.08x = 410,069.16 × 161,185.50
  4. Step 4: Simplify right side
    297,154.08x = 66,097,202,589.18
  5. Step 5: Solve for x
    x = 66,097,202,589.18/297,154.08
  6. Step 6: Final answer
    x = 222,434.11

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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.