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Finding the Fourth Proportional to 133,904.52, 200,857.94 and 34,064.82

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Solution

The fourth proportional to 133,904.52, 200,857.94 and 34,064.82 is: 51,097.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,904.52 : 200,857.94 = 34,064.82 : x
  2. Step 2: Convert to fraction form
    133,904.52/200,857.94 = 34,064.82/x
  3. Step 3: Cross multiply
    133,904.52x = 200,857.94 × 34,064.82
  4. Step 4: Simplify right side
    133,904.52x = 6,842,189,571.67
  5. Step 5: Solve for x
    x = 6,842,189,571.67/133,904.52
  6. Step 6: Final answer
    x = 51,097.53

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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.