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Finding the Fourth Proportional to 204,490, 306,862.48 and 78,141.52

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Solution

The fourth proportional to 204,490, 306,862.48 and 78,141.52 is: 117,260.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,490 : 306,862.48 = 78,141.52 : x
  2. Step 2: Convert to fraction form
    204,490/306,862.48 = 78,141.52/x
  3. Step 3: Cross multiply
    204,490x = 306,862.48 × 78,141.52
  4. Step 4: Simplify right side
    204,490x = 23,978,700,618.17
  5. Step 5: Solve for x
    x = 23,978,700,618.17/204,490
  6. Step 6: Final answer
    x = 117,260.99

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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.