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Finding the Fourth Proportional to 133,905.85, 200,859.95 and 34,066.15

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Solution

The fourth proportional to 133,905.85, 200,859.95 and 34,066.15 is: 51,099.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,905.85 : 200,859.95 = 34,066.15 : x
  2. Step 2: Convert to fraction form
    133,905.85/200,859.95 = 34,066.15/x
  3. Step 3: Cross multiply
    133,905.85x = 200,859.95 × 34,066.15
  4. Step 4: Simplify right side
    133,905.85x = 6,842,524,011.06
  5. Step 5: Solve for x
    x = 6,842,524,011.06/133,905.85
  6. Step 6: Final answer
    x = 51,099.52

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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.