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Finding the Fourth Proportional to 200,912.32, 301,358.74 and 74,577.19

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Solution

The fourth proportional to 200,912.32, 301,358.74 and 74,577.19 is: 111,862.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,912.32 : 301,358.74 = 74,577.19 : x
  2. Step 2: Convert to fraction form
    200,912.32/301,358.74 = 74,577.19/x
  3. Step 3: Cross multiply
    200,912.32x = 301,358.74 × 74,577.19
  4. Step 4: Simplify right side
    200,912.32x = 22,474,488,011.14
  5. Step 5: Solve for x
    x = 22,474,488,011.14/200,912.32
  6. Step 6: Final answer
    x = 111,862.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.