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Finding the Fourth Proportional to 200,826.73, 301,250.12 and 65,878.86

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Solution

The fourth proportional to 200,826.73, 301,250.12 and 65,878.86 is: 98,821.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,826.73 : 301,250.12 = 65,878.86 : x
  2. Step 2: Convert to fraction form
    200,826.73/301,250.12 = 65,878.86/x
  3. Step 3: Cross multiply
    200,826.73x = 301,250.12 × 65,878.86
  4. Step 4: Simplify right side
    200,826.73x = 19,846,014,480.46
  5. Step 5: Solve for x
    x = 19,846,014,480.46/200,826.73
  6. Step 6: Final answer
    x = 98,821.58

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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.