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Finding the Fourth Proportional to 296,132, 408,671.91 and 161,996

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Solution

The fourth proportional to 296,132, 408,671.91 and 161,996 is: 223,559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,132 : 408,671.91 = 161,996 : x
  2. Step 2: Convert to fraction form
    296,132/408,671.91 = 161,996/x
  3. Step 3: Cross multiply
    296,132x = 408,671.91 × 161,996
  4. Step 4: Simplify right side
    296,132x = 66,203,214,732.36
  5. Step 5: Solve for x
    x = 66,203,214,732.36/296,132
  6. Step 6: Final answer
    x = 223,559.81

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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.