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Finding the Fourth Proportional to 133,894.98, 200,841.59 and 34,054.31

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Solution

The fourth proportional to 133,894.98, 200,841.59 and 34,054.31 is: 51,081.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,894.98 : 200,841.59 = 34,054.31 : x
  2. Step 2: Convert to fraction form
    133,894.98/200,841.59 = 34,054.31/x
  3. Step 3: Cross multiply
    133,894.98x = 200,841.59 × 34,054.31
  4. Step 4: Simplify right side
    133,894.98x = 6,839,520,592.27
  5. Step 5: Solve for x
    x = 6,839,520,592.27/133,894.98
  6. Step 6: Final answer
    x = 51,081.23

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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.