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Finding the Fourth Proportional to 204,668.58, 307,035.72 and 86,357.34

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Solution

The fourth proportional to 204,668.58, 307,035.72 and 86,357.34 is: 129,549.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,668.58 : 307,035.72 = 86,357.34 : x
  2. Step 2: Convert to fraction form
    204,668.58/307,035.72 = 86,357.34/x
  3. Step 3: Cross multiply
    204,668.58x = 307,035.72 × 86,357.34
  4. Step 4: Simplify right side
    204,668.58x = 26,514,788,064.18
  5. Step 5: Solve for x
    x = 26,514,788,064.18/204,668.58
  6. Step 6: Final answer
    x = 129,549.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.