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Finding the Fourth Proportional to 200,913.13, 301,359.84 and 74,577.97

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Solution

The fourth proportional to 200,913.13, 301,359.84 and 74,577.97 is: 111,863.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,913.13 : 301,359.84 = 74,577.97 : x
  2. Step 2: Convert to fraction form
    200,913.13/301,359.84 = 74,577.97/x
  3. Step 3: Cross multiply
    200,913.13x = 301,359.84 × 74,577.97
  4. Step 4: Simplify right side
    200,913.13x = 22,474,805,106.72
  5. Step 5: Solve for x
    x = 22,474,805,106.72/200,913.13
  6. Step 6: Final answer
    x = 111,863.30

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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.