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Finding the Fourth Proportional to 204,603.82, 282,361.12 and 118,565.73

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Solution

The fourth proportional to 204,603.82, 282,361.12 and 118,565.73 is: 163,625.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,603.82 : 282,361.12 = 118,565.73 : x
  2. Step 2: Convert to fraction form
    204,603.82/282,361.12 = 118,565.73/x
  3. Step 3: Cross multiply
    204,603.82x = 282,361.12 × 118,565.73
  4. Step 4: Simplify right side
    204,603.82x = 33,478,352,020.00
  5. Step 5: Solve for x
    x = 33,478,352,020.00/204,603.82
  6. Step 6: Final answer
    x = 163,625.26

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Why These Related Problems?

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