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Finding the Fourth Proportional to 133,894.23, 200,840.48 and 34,053.56

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Solution

The fourth proportional to 133,894.23, 200,840.48 and 34,053.56 is: 51,080.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,894.23 : 200,840.48 = 34,053.56 : x
  2. Step 2: Convert to fraction form
    133,894.23/200,840.48 = 34,053.56/x
  3. Step 3: Cross multiply
    133,894.23x = 200,840.48 × 34,053.56
  4. Step 4: Simplify right side
    133,894.23x = 6,839,332,161.64
  5. Step 5: Solve for x
    x = 6,839,332,161.64/133,894.23
  6. Step 6: Final answer
    x = 51,080.11

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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.