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Finding the Fourth Proportional to 222,964.32, 307,670.40 and 132,304.68

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Solution

The fourth proportional to 222,964.32, 307,670.40 and 132,304.68 is: 182,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,964.32 : 307,670.40 = 132,304.68 : x
  2. Step 2: Convert to fraction form
    222,964.32/307,670.40 = 132,304.68/x
  3. Step 3: Cross multiply
    222,964.32x = 307,670.40 × 132,304.68
  4. Step 4: Simplify right side
    222,964.32x = 40,706,233,817.47
  5. Step 5: Solve for x
    x = 40,706,233,817.47/222,964.32
  6. Step 6: Final answer
    x = 182,568.38

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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.