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Finding the Fourth Proportional to 200,067.92, 276,193.98 and 154,643.24

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Solution

The fourth proportional to 200,067.92, 276,193.98 and 154,643.24 is: 213,485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,067.92 : 276,193.98 = 154,643.24 : x
  2. Step 2: Convert to fraction form
    200,067.92/276,193.98 = 154,643.24/x
  3. Step 3: Cross multiply
    200,067.92x = 276,193.98 × 154,643.24
  4. Step 4: Simplify right side
    200,067.92x = 42,711,531,935.70
  5. Step 5: Solve for x
    x = 42,711,531,935.70/200,067.92
  6. Step 6: Final answer
    x = 213,485.16

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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.