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Finding the Fourth Proportional to 204,858.32, 307,287.47 and 64,627.88

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Solution

The fourth proportional to 204,858.32, 307,287.47 and 64,627.88 is: 96,941.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,858.32 : 307,287.47 = 64,627.88 : x
  2. Step 2: Convert to fraction form
    204,858.32/307,287.47 = 64,627.88/x
  3. Step 3: Cross multiply
    204,858.32x = 307,287.47 × 64,627.88
  4. Step 4: Simplify right side
    204,858.32x = 19,859,336,361.80
  5. Step 5: Solve for x
    x = 19,859,336,361.80/204,858.32
  6. Step 6: Final answer
    x = 96,941.81

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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.