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Finding the Fourth Proportional to 280,181.08, 386,648.02 and 159,322.38

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Solution

The fourth proportional to 280,181.08, 386,648.02 and 159,322.38 is: 219,863.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,181.08 : 386,648.02 = 159,322.38 : x
  2. Step 2: Convert to fraction form
    280,181.08/386,648.02 = 159,322.38/x
  3. Step 3: Cross multiply
    280,181.08x = 386,648.02 × 159,322.38
  4. Step 4: Simplify right side
    280,181.08x = 61,601,682,768.69
  5. Step 5: Solve for x
    x = 61,601,682,768.69/280,181.08
  6. Step 6: Final answer
    x = 219,863.82

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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.