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Finding the Fourth Proportional to 222,369.86, 306,916.74 and 204,436.46

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Solution

The fourth proportional to 222,369.86, 306,916.74 and 204,436.46 is: 282,164.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,369.86 : 306,916.74 = 204,436.46 : x
  2. Step 2: Convert to fraction form
    222,369.86/306,916.74 = 204,436.46/x
  3. Step 3: Cross multiply
    222,369.86x = 306,916.74 × 204,436.46
  4. Step 4: Simplify right side
    222,369.86x = 62,744,971,840.34
  5. Step 5: Solve for x
    x = 62,744,971,840.34/222,369.86
  6. Step 6: Final answer
    x = 282,164.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.