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Finding the Fourth Proportional to 200,978.64, 301,364.28 and 82,627.92

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Solution

The fourth proportional to 200,978.64, 301,364.28 and 82,627.92 is: 123,899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,978.64 : 301,364.28 = 82,627.92 : x
  2. Step 2: Convert to fraction form
    200,978.64/301,364.28 = 82,627.92/x
  3. Step 3: Cross multiply
    200,978.64x = 301,364.28 × 82,627.92
  4. Step 4: Simplify right side
    200,978.64x = 24,901,103,618.70
  5. Step 5: Solve for x
    x = 24,901,103,618.70/200,978.64
  6. Step 6: Final answer
    x = 123,899.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.