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Finding the Fourth Proportional to 232,216.80, 347,864.40 and 133,605.60

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Solution

The fourth proportional to 232,216.80, 347,864.40 and 133,605.60 is: 200,143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,216.80 : 347,864.40 = 133,605.60 : x
  2. Step 2: Convert to fraction form
    232,216.80/347,864.40 = 133,605.60/x
  3. Step 3: Cross multiply
    232,216.80x = 347,864.40 × 133,605.60
  4. Step 4: Simplify right side
    232,216.80x = 46,476,631,880.64
  5. Step 5: Solve for x
    x = 46,476,631,880.64/232,216.80
  6. Step 6: Final answer
    x = 200,143.28

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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.