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Finding the Fourth Proportional to 204,503.85, 282,212.64 and 118,474.56

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Solution

The fourth proportional to 204,503.85, 282,212.64 and 118,474.56 is: 163,493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,503.85 : 282,212.64 = 118,474.56 : x
  2. Step 2: Convert to fraction form
    204,503.85/282,212.64 = 118,474.56/x
  3. Step 3: Cross multiply
    204,503.85x = 282,212.64 × 118,474.56
  4. Step 4: Simplify right side
    204,503.85x = 33,435,018,350.44
  5. Step 5: Solve for x
    x = 33,435,018,350.44/204,503.85
  6. Step 6: Final answer
    x = 163,493.34

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1.5x scale

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.