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Finding the Fourth Proportional to 217,414.84, 299,905.38 and 136,714.60

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Solution

The fourth proportional to 217,414.84, 299,905.38 and 136,714.60 is: 188,586.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,414.84 : 299,905.38 = 136,714.60 : x
  2. Step 2: Convert to fraction form
    217,414.84/299,905.38 = 136,714.60/x
  3. Step 3: Cross multiply
    217,414.84x = 299,905.38 × 136,714.60
  4. Step 4: Simplify right side
    217,414.84x = 41,001,444,064.55
  5. Step 5: Solve for x
    x = 41,001,444,064.55/217,414.84
  6. Step 6: Final answer
    x = 188,586.23

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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.