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Finding the Fourth Proportional to 222,646, 307,252.56 and 133,222

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Solution

The fourth proportional to 222,646, 307,252.56 and 133,222 is: 183,847.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,646 : 307,252.56 = 133,222 : x
  2. Step 2: Convert to fraction form
    222,646/307,252.56 = 133,222/x
  3. Step 3: Cross multiply
    222,646x = 307,252.56 × 133,222
  4. Step 4: Simplify right side
    222,646x = 40,932,800,548.32
  5. Step 5: Solve for x
    x = 40,932,800,548.32/222,646
  6. Step 6: Final answer
    x = 183,847.01

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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.