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Finding the Fourth Proportional to 203,833.17, 305,786.48 and 83,868.93

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Solution

The fourth proportional to 203,833.17, 305,786.48 and 83,868.93 is: 125,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,833.17 : 305,786.48 = 83,868.93 : x
  2. Step 2: Convert to fraction form
    203,833.17/305,786.48 = 83,868.93/x
  3. Step 3: Cross multiply
    203,833.17x = 305,786.48 × 83,868.93
  4. Step 4: Simplify right side
    203,833.17x = 25,645,984,466.72
  5. Step 5: Solve for x
    x = 25,645,984,466.72/203,833.17
  6. Step 6: Final answer
    x = 125,818.50

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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.