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Finding the Fourth Proportional to 222,538, 307,102.44 and 133,114

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Solution

The fourth proportional to 222,538, 307,102.44 and 133,114 is: 183,697.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,538 : 307,102.44 = 133,114 : x
  2. Step 2: Convert to fraction form
    222,538/307,102.44 = 133,114/x
  3. Step 3: Cross multiply
    222,538x = 307,102.44 × 133,114
  4. Step 4: Simplify right side
    222,538x = 40,879,634,198.16
  5. Step 5: Solve for x
    x = 40,879,634,198.16/222,538
  6. Step 6: Final answer
    x = 183,697.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.