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Finding the Fourth Proportional to 204,890, 282,727.44 and 114,237.36

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Solution

The fourth proportional to 204,890, 282,727.44 and 114,237.36 is: 157,635.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,890 : 282,727.44 = 114,237.36 : x
  2. Step 2: Convert to fraction form
    204,890/282,727.44 = 114,237.36/x
  3. Step 3: Cross multiply
    204,890x = 282,727.44 × 114,237.36
  4. Step 4: Simplify right side
    204,890x = 32,298,036,345.16
  5. Step 5: Solve for x
    x = 32,298,036,345.16/204,890
  6. Step 6: Final answer
    x = 157,635.98

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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.