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Finding the Fourth Proportional to 207,902.40, 311,999.40 and 133,204.20

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Solution

The fourth proportional to 207,902.40, 311,999.40 and 133,204.20 is: 199,899.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,902.40 : 311,999.40 = 133,204.20 : x
  2. Step 2: Convert to fraction form
    207,902.40/311,999.40 = 133,204.20/x
  3. Step 3: Cross multiply
    207,902.40x = 311,999.40 × 133,204.20
  4. Step 4: Simplify right side
    207,902.40x = 41,559,630,477.48
  5. Step 5: Solve for x
    x = 41,559,630,477.48/207,902.40
  6. Step 6: Final answer
    x = 199,899.71

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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.