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Finding the Fourth Proportional to 201,274.32, 301,947.93 and 82,881.12

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Solution

The fourth proportional to 201,274.32, 301,947.93 and 82,881.12 is: 124,336.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,274.32 : 301,947.93 = 82,881.12 : x
  2. Step 2: Convert to fraction form
    201,274.32/301,947.93 = 82,881.12/x
  3. Step 3: Cross multiply
    201,274.32x = 301,947.93 × 82,881.12
  4. Step 4: Simplify right side
    201,274.32x = 25,025,782,620.08
  5. Step 5: Solve for x
    x = 25,025,782,620.08/201,274.32
  6. Step 6: Final answer
    x = 124,336.69

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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.