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Finding the Fourth Proportional to 204,995.87, 282,894.59 and 118,971.64

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Solution

The fourth proportional to 204,995.87, 282,894.59 and 118,971.64 is: 164,181.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,995.87 : 282,894.59 = 118,971.64 : x
  2. Step 2: Convert to fraction form
    204,995.87/282,894.59 = 118,971.64/x
  3. Step 3: Cross multiply
    204,995.87x = 282,894.59 × 118,971.64
  4. Step 4: Simplify right side
    204,995.87x = 33,656,432,017.33
  5. Step 5: Solve for x
    x = 33,656,432,017.33/204,995.87
  6. Step 6: Final answer
    x = 164,181.03

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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.