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Finding the Fourth Proportional to 133,754.98, 200,574.15 and 50,590.66

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Solution

The fourth proportional to 133,754.98, 200,574.15 and 50,590.66 is: 75,863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,754.98 : 200,574.15 = 50,590.66 : x
  2. Step 2: Convert to fraction form
    133,754.98/200,574.15 = 50,590.66/x
  3. Step 3: Cross multiply
    133,754.98x = 200,574.15 × 50,590.66
  4. Step 4: Simplify right side
    133,754.98x = 10,147,179,002.40
  5. Step 5: Solve for x
    x = 10,147,179,002.40/133,754.98
  6. Step 6: Final answer
    x = 75,863.93

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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.