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Finding the Fourth Proportional to 133,797, 200,708.94 and 35,301

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Solution

The fourth proportional to 133,797, 200,708.94 and 35,301 is: 52,955.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,797 : 200,708.94 = 35,301 : x
  2. Step 2: Convert to fraction form
    133,797/200,708.94 = 35,301/x
  3. Step 3: Cross multiply
    133,797x = 200,708.94 × 35,301
  4. Step 4: Simplify right side
    133,797x = 7,085,226,290.94
  5. Step 5: Solve for x
    x = 7,085,226,290.94/133,797
  6. Step 6: Final answer
    x = 52,955.05

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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.