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Finding the Fourth Proportional to 205,825.20, 308,737.80 and 203,856.90

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Solution

The fourth proportional to 205,825.20, 308,737.80 and 203,856.90 is: 305,785.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,825.20 : 308,737.80 = 203,856.90 : x
  2. Step 2: Convert to fraction form
    205,825.20/308,737.80 = 203,856.90/x
  3. Step 3: Cross multiply
    205,825.20x = 308,737.80 × 203,856.90
  4. Step 4: Simplify right side
    205,825.20x = 62,938,330,820.82
  5. Step 5: Solve for x
    x = 62,938,330,820.82/205,825.20
  6. Step 6: Final answer
    x = 305,785.35

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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.