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Finding the Fourth Proportional to 204,494.85, 282,200.22 and 118,465.56

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Solution

The fourth proportional to 204,494.85, 282,200.22 and 118,465.56 is: 163,480.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,494.85 : 282,200.22 = 118,465.56 : x
  2. Step 2: Convert to fraction form
    204,494.85/282,200.22 = 118,465.56/x
  3. Step 3: Cross multiply
    204,494.85x = 282,200.22 × 118,465.56
  4. Step 4: Simplify right side
    204,494.85x = 33,431,007,094.42
  5. Step 5: Solve for x
    x = 33,431,007,094.42/204,494.85
  6. Step 6: Final answer
    x = 163,480.92

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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.