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Finding the Fourth Proportional to 204,057.60, 306,086.40 and 190,838.40

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Solution

The fourth proportional to 204,057.60, 306,086.40 and 190,838.40 is: 286,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,057.60 : 306,086.40 = 190,838.40 : x
  2. Step 2: Convert to fraction form
    204,057.60/306,086.40 = 190,838.40/x
  3. Step 3: Cross multiply
    204,057.60x = 306,086.40 × 190,838.40
  4. Step 4: Simplify right side
    204,057.60x = 58,413,038,837.76
  5. Step 5: Solve for x
    x = 58,413,038,837.76/204,057.60
  6. Step 6: Final answer
    x = 286,257.60

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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.