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Finding the Fourth Proportional to 204,510, 282,223.80 and 115,087.92

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Solution

The fourth proportional to 204,510, 282,223.80 and 115,087.92 is: 158,821.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,510 : 282,223.80 = 115,087.92 : x
  2. Step 2: Convert to fraction form
    204,510/282,223.80 = 115,087.92/x
  3. Step 3: Cross multiply
    204,510x = 282,223.80 × 115,087.92
  4. Step 4: Simplify right side
    204,510x = 32,480,550,116.50
  5. Step 5: Solve for x
    x = 32,480,550,116.50/204,510
  6. Step 6: Final answer
    x = 158,821.33

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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.