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Finding the Fourth Proportional to 208,230.80, 312,115.80 and 114,803.60

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Solution

The fourth proportional to 208,230.80, 312,115.80 and 114,803.60 is: 172,078.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,230.80 : 312,115.80 = 114,803.60 : x
  2. Step 2: Convert to fraction form
    208,230.80/312,115.80 = 114,803.60/x
  3. Step 3: Cross multiply
    208,230.80x = 312,115.80 × 114,803.60
  4. Step 4: Simplify right side
    208,230.80x = 35,832,017,456.88
  5. Step 5: Solve for x
    x = 35,832,017,456.88/208,230.80
  6. Step 6: Final answer
    x = 172,078.37

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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.