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Finding the Fourth Proportional to 200,681.92, 276,941.44 and 111,257.92

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Solution

The fourth proportional to 200,681.92, 276,941.44 and 111,257.92 is: 153,536.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,681.92 : 276,941.44 = 111,257.92 : x
  2. Step 2: Convert to fraction form
    200,681.92/276,941.44 = 111,257.92/x
  3. Step 3: Cross multiply
    200,681.92x = 276,941.44 × 111,257.92
  4. Step 4: Simplify right side
    200,681.92x = 30,811,928,576.20
  5. Step 5: Solve for x
    x = 30,811,928,576.20/200,681.92
  6. Step 6: Final answer
    x = 153,536.15

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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.