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Finding the Fourth Proportional to 200,342.04, 276,471 and 109,696.36

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Solution

The fourth proportional to 200,342.04, 276,471 and 109,696.36 is: 151,380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,342.04 : 276,471 = 109,696.36 : x
  2. Step 2: Convert to fraction form
    200,342.04/276,471 = 109,696.36/x
  3. Step 3: Cross multiply
    200,342.04x = 276,471 × 109,696.36
  4. Step 4: Simplify right side
    200,342.04x = 30,327,862,345.56
  5. Step 5: Solve for x
    x = 30,327,862,345.56/200,342.04
  6. Step 6: Final answer
    x = 151,380.42

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1.5x scale

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.