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Finding the Fourth Proportional to 288,368.54, 397,890.87 and 161,024.54

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Solution

The fourth proportional to 288,368.54, 397,890.87 and 161,024.54 is: 222,181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,368.54 : 397,890.87 = 161,024.54 : x
  2. Step 2: Convert to fraction form
    288,368.54/397,890.87 = 161,024.54/x
  3. Step 3: Cross multiply
    288,368.54x = 397,890.87 × 161,024.54
  4. Step 4: Simplify right side
    288,368.54x = 64,070,194,311.95
  5. Step 5: Solve for x
    x = 64,070,194,311.95/288,368.54
  6. Step 6: Final answer
    x = 222,181.64

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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.