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Finding the Fourth Proportional to 204,802.92, 282,634.02 and 119,912.04

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Solution

The fourth proportional to 204,802.92, 282,634.02 and 119,912.04 is: 165,482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,802.92 : 282,634.02 = 119,912.04 : x
  2. Step 2: Convert to fraction form
    204,802.92/282,634.02 = 119,912.04/x
  3. Step 3: Cross multiply
    204,802.92x = 282,634.02 × 119,912.04
  4. Step 4: Simplify right side
    204,802.92x = 33,891,221,911.60
  5. Step 5: Solve for x
    x = 33,891,221,911.60/204,802.92
  6. Step 6: Final answer
    x = 165,482.12

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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.