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Finding the Fourth Proportional to 204,857.84, 282,702.80 and 118,834.22

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Solution

The fourth proportional to 204,857.84, 282,702.80 and 118,834.22 is: 163,990.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,857.84 : 282,702.80 = 118,834.22 : x
  2. Step 2: Convert to fraction form
    204,857.84/282,702.80 = 118,834.22/x
  3. Step 3: Cross multiply
    204,857.84x = 282,702.80 × 118,834.22
  4. Step 4: Simplify right side
    204,857.84x = 33,594,764,722.13
  5. Step 5: Solve for x
    x = 33,594,764,722.13/204,857.84
  6. Step 6: Final answer
    x = 163,990.63

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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.