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Finding the Fourth Proportional to 204,661.53, 307,098.90 and 154,726.88

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Solution

The fourth proportional to 204,661.53, 307,098.90 and 154,726.88 is: 232,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,661.53 : 307,098.90 = 154,726.88 : x
  2. Step 2: Convert to fraction form
    204,661.53/307,098.90 = 154,726.88/x
  3. Step 3: Cross multiply
    204,661.53x = 307,098.90 × 154,726.88
  4. Step 4: Simplify right side
    204,661.53x = 47,516,453,112.94
  5. Step 5: Solve for x
    x = 47,516,453,112.94/204,661.53
  6. Step 6: Final answer
    x = 232,170.91

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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.