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Finding the Fourth Proportional to 204,536.76, 282,347.82 and 137,507.64

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Solution

The fourth proportional to 204,536.76, 282,347.82 and 137,507.64 is: 189,819.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,536.76 : 282,347.82 = 137,507.64 : x
  2. Step 2: Convert to fraction form
    204,536.76/282,347.82 = 137,507.64/x
  3. Step 3: Cross multiply
    204,536.76x = 282,347.82 × 137,507.64
  4. Step 4: Simplify right side
    204,536.76x = 38,824,982,387.34
  5. Step 5: Solve for x
    x = 38,824,982,387.34/204,536.76
  6. Step 6: Final answer
    x = 189,819.09

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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.