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Finding the Fourth Proportional to 185,322.32, 277,983.17 and 65,467.83

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Solution

The fourth proportional to 185,322.32, 277,983.17 and 65,467.83 is: 98,201.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,322.32 : 277,983.17 = 65,467.83 : x
  2. Step 2: Convert to fraction form
    185,322.32/277,983.17 = 65,467.83/x
  3. Step 3: Cross multiply
    185,322.32x = 277,983.17 × 65,467.83
  4. Step 4: Simplify right side
    185,322.32x = 18,198,954,916.42
  5. Step 5: Solve for x
    x = 18,198,954,916.42/185,322.32
  6. Step 6: Final answer
    x = 98,201.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.