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Finding the Fourth Proportional to 205,078.82, 282,966.52 and 117,847.07

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Solution

The fourth proportional to 205,078.82, 282,966.52 and 117,847.07 is: 162,604.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,078.82 : 282,966.52 = 117,847.07 : x
  2. Step 2: Convert to fraction form
    205,078.82/282,966.52 = 117,847.07/x
  3. Step 3: Cross multiply
    205,078.82x = 282,966.52 × 117,847.07
  4. Step 4: Simplify right side
    205,078.82x = 33,346,775,290.10
  5. Step 5: Solve for x
    x = 33,346,775,290.10/205,078.82
  6. Step 6: Final answer
    x = 162,604.68

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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.