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Finding the Fourth Proportional to 204,644.16, 307,007.76 and 86,315.88

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Solution

The fourth proportional to 204,644.16, 307,007.76 and 86,315.88 is: 129,491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,644.16 : 307,007.76 = 86,315.88 : x
  2. Step 2: Convert to fraction form
    204,644.16/307,007.76 = 86,315.88/x
  3. Step 3: Cross multiply
    204,644.16x = 307,007.76 × 86,315.88
  4. Step 4: Simplify right side
    204,644.16x = 26,499,644,971.23
  5. Step 5: Solve for x
    x = 26,499,644,971.23/204,644.16
  6. Step 6: Final answer
    x = 129,491.33

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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.