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Finding the Fourth Proportional to 208,234.80, 312,121.80 and 114,807.60

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Solution

The fourth proportional to 208,234.80, 312,121.80 and 114,807.60 is: 172,084.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,234.80 : 312,121.80 = 114,807.60 : x
  2. Step 2: Convert to fraction form
    208,234.80/312,121.80 = 114,807.60/x
  3. Step 3: Cross multiply
    208,234.80x = 312,121.80 × 114,807.60
  4. Step 4: Simplify right side
    208,234.80x = 35,833,954,765.68
  5. Step 5: Solve for x
    x = 35,833,954,765.68/208,234.80
  6. Step 6: Final answer
    x = 172,084.37

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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.