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Finding the Fourth Proportional to 232,216.30, 347,863.65 and 133,605.10

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Solution

The fourth proportional to 232,216.30, 347,863.65 and 133,605.10 is: 200,142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,216.30 : 347,863.65 = 133,605.10 : x
  2. Step 2: Convert to fraction form
    232,216.30/347,863.65 = 133,605.10/x
  3. Step 3: Cross multiply
    232,216.30x = 347,863.65 × 133,605.10
  4. Step 4: Simplify right side
    232,216.30x = 46,476,357,744.62
  5. Step 5: Solve for x
    x = 46,476,357,744.62/232,216.30
  6. Step 6: Final answer
    x = 200,142.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.