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Finding the Fourth Proportional to 204,924, 282,797.28 and 115,500

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Solution

The fourth proportional to 204,924, 282,797.28 and 115,500 is: 159,391.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,924 : 282,797.28 = 115,500 : x
  2. Step 2: Convert to fraction form
    204,924/282,797.28 = 115,500/x
  3. Step 3: Cross multiply
    204,924x = 282,797.28 × 115,500
  4. Step 4: Simplify right side
    204,924x = 32,663,085,840.00
  5. Step 5: Solve for x
    x = 32,663,085,840.00/204,924
  6. Step 6: Final answer
    x = 159,391.22

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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.