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Finding the Fourth Proportional to 204,483, 282,163.86 and 113,818.08

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Solution

The fourth proportional to 204,483, 282,163.86 and 113,818.08 is: 157,056.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,483 : 282,163.86 = 113,818.08 : x
  2. Step 2: Convert to fraction form
    204,483/282,163.86 = 113,818.08/x
  3. Step 3: Cross multiply
    204,483x = 282,163.86 × 113,818.08
  4. Step 4: Simplify right side
    204,483x = 32,115,348,790.59
  5. Step 5: Solve for x
    x = 32,115,348,790.59/204,483
  6. Step 6: Final answer
    x = 157,056.33

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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.