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Finding the Fourth Proportional to 144,874.84, 217,200.46 and 54,916.24

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Solution

The fourth proportional to 144,874.84, 217,200.46 and 54,916.24 is: 82,331.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,874.84 : 217,200.46 = 54,916.24 : x
  2. Step 2: Convert to fraction form
    144,874.84/217,200.46 = 54,916.24/x
  3. Step 3: Cross multiply
    144,874.84x = 217,200.46 × 54,916.24
  4. Step 4: Simplify right side
    144,874.84x = 11,927,832,589.47
  5. Step 5: Solve for x
    x = 11,927,832,589.47/144,874.84
  6. Step 6: Final answer
    x = 82,331.98

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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.