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Finding the Fourth Proportional to 204,714.24, 282,506.22 and 118,689.90

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Solution

The fourth proportional to 204,714.24, 282,506.22 and 118,689.90 is: 163,792.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,714.24 : 282,506.22 = 118,689.90 : x
  2. Step 2: Convert to fraction form
    204,714.24/282,506.22 = 118,689.90/x
  3. Step 3: Cross multiply
    204,714.24x = 282,506.22 × 118,689.90
  4. Step 4: Simplify right side
    204,714.24x = 33,530,635,001.18
  5. Step 5: Solve for x
    x = 33,530,635,001.18/204,714.24
  6. Step 6: Final answer
    x = 163,792.39

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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.