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Finding the Fourth Proportional to 133,850.82, 200,657.16 and 50,803.14

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Solution

The fourth proportional to 133,850.82, 200,657.16 and 50,803.14 is: 76,159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,850.82 : 200,657.16 = 50,803.14 : x
  2. Step 2: Convert to fraction form
    133,850.82/200,657.16 = 50,803.14/x
  3. Step 3: Cross multiply
    133,850.82x = 200,657.16 × 50,803.14
  4. Step 4: Simplify right side
    133,850.82x = 10,194,013,791.48
  5. Step 5: Solve for x
    x = 10,194,013,791.48/133,850.82
  6. Step 6: Final answer
    x = 76,159.52

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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.