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Finding the Fourth Proportional to 200,785.32, 301,179.84 and 65,847.42

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Solution

The fourth proportional to 200,785.32, 301,179.84 and 65,847.42 is: 98,771.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,785.32 : 301,179.84 = 65,847.42 : x
  2. Step 2: Convert to fraction form
    200,785.32/301,179.84 = 65,847.42/x
  3. Step 3: Cross multiply
    200,785.32x = 301,179.84 × 65,847.42
  4. Step 4: Simplify right side
    200,785.32x = 19,831,915,420.01
  5. Step 5: Solve for x
    x = 19,831,915,420.01/200,785.32
  6. Step 6: Final answer
    x = 98,771.74

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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.