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Finding the Fourth Proportional to 297,193.24, 410,128.50 and 161,227.72

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Solution

The fourth proportional to 297,193.24, 410,128.50 and 161,227.72 is: 222,495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,193.24 : 410,128.50 = 161,227.72 : x
  2. Step 2: Convert to fraction form
    297,193.24/410,128.50 = 161,227.72/x
  3. Step 3: Cross multiply
    297,193.24x = 410,128.50 × 161,227.72
  4. Step 4: Simplify right side
    297,193.24x = 66,124,082,962.02
  5. Step 5: Solve for x
    x = 66,124,082,962.02/297,193.24
  6. Step 6: Final answer
    x = 222,495.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.