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Finding the Fourth Proportional to 204,205.92, 306,108.88 and 114,292.54

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Solution

The fourth proportional to 204,205.92, 306,108.88 and 114,292.54 is: 171,326.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,205.92 : 306,108.88 = 114,292.54 : x
  2. Step 2: Convert to fraction form
    204,205.92/306,108.88 = 114,292.54/x
  3. Step 3: Cross multiply
    204,205.92x = 306,108.88 × 114,292.54
  4. Step 4: Simplify right side
    204,205.92x = 34,985,961,411.76
  5. Step 5: Solve for x
    x = 34,985,961,411.76/204,205.92
  6. Step 6: Final answer
    x = 171,326.87

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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.