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Finding the Fourth Proportional to 200,468.28, 276,643.10 and 109,823.48

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Solution

The fourth proportional to 200,468.28, 276,643.10 and 109,823.48 is: 151,554.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,468.28 : 276,643.10 = 109,823.48 : x
  2. Step 2: Convert to fraction form
    200,468.28/276,643.10 = 109,823.48/x
  3. Step 3: Cross multiply
    200,468.28x = 276,643.10 × 109,823.48
  4. Step 4: Simplify right side
    200,468.28x = 30,381,907,959.99
  5. Step 5: Solve for x
    x = 30,381,907,959.99/200,468.28
  6. Step 6: Final answer
    x = 151,554.69

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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.