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Finding the Fourth Proportional to 133,799, 200,711.94 and 35,303

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Solution

The fourth proportional to 133,799, 200,711.94 and 35,303 is: 52,958.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,799 : 200,711.94 = 35,303 : x
  2. Step 2: Convert to fraction form
    133,799/200,711.94 = 35,303/x
  3. Step 3: Cross multiply
    133,799x = 200,711.94 × 35,303
  4. Step 4: Simplify right side
    133,799x = 7,085,733,617.82
  5. Step 5: Solve for x
    x = 7,085,733,617.82/133,799
  6. Step 6: Final answer
    x = 52,958.05

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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.