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Finding the Fourth Proportional to 227,907.60, 342,169.20 and 133,234.80

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Solution

The fourth proportional to 227,907.60, 342,169.20 and 133,234.80 is: 200,032.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,907.60 : 342,169.20 = 133,234.80 : x
  2. Step 2: Convert to fraction form
    227,907.60/342,169.20 = 133,234.80/x
  3. Step 3: Cross multiply
    227,907.60x = 342,169.20 × 133,234.80
  4. Step 4: Simplify right side
    227,907.60x = 45,588,844,928.16
  5. Step 5: Solve for x
    x = 45,588,844,928.16/227,907.60
  6. Step 6: Final answer
    x = 200,032.14

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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.