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Finding the Fourth Proportional to 204,989.79, 282,857.63 and 114,335.13

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Solution

The fourth proportional to 204,989.79, 282,857.63 and 114,335.13 is: 157,766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,989.79 : 282,857.63 = 114,335.13 : x
  2. Step 2: Convert to fraction form
    204,989.79/282,857.63 = 114,335.13/x
  3. Step 3: Cross multiply
    204,989.79x = 282,857.63 × 114,335.13
  4. Step 4: Simplify right side
    204,989.79x = 32,340,563,325.87
  5. Step 5: Solve for x
    x = 32,340,563,325.87/204,989.79
  6. Step 6: Final answer
    x = 157,766.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.