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Finding the Fourth Proportional to 200,532.92, 276,709.04 and 119,931.02

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Solution

The fourth proportional to 200,532.92, 276,709.04 and 119,931.02 is: 165,489.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,532.92 : 276,709.04 = 119,931.02 : x
  2. Step 2: Convert to fraction form
    200,532.92/276,709.04 = 119,931.02/x
  3. Step 3: Cross multiply
    200,532.92x = 276,709.04 × 119,931.02
  4. Step 4: Simplify right side
    200,532.92x = 33,185,997,410.42
  5. Step 5: Solve for x
    x = 33,185,997,410.42/200,532.92
  6. Step 6: Final answer
    x = 165,489.02

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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.