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Finding the Fourth Proportional to 225,916.02, 338,863.78 and 99,522.50

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Solution

The fourth proportional to 225,916.02, 338,863.78 and 99,522.50 is: 149,279.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,916.02 : 338,863.78 = 99,522.50 : x
  2. Step 2: Convert to fraction form
    225,916.02/338,863.78 = 99,522.50/x
  3. Step 3: Cross multiply
    225,916.02x = 338,863.78 × 99,522.50
  4. Step 4: Simplify right side
    225,916.02x = 33,724,570,545.05
  5. Step 5: Solve for x
    x = 33,724,570,545.05/225,916.02
  6. Step 6: Final answer
    x = 149,279.23

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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.