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Finding the Fourth Proportional to 206,555.86, 284,886.39 and 149,409.55

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Solution

The fourth proportional to 206,555.86, 284,886.39 and 149,409.55 is: 206,068.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,555.86 : 284,886.39 = 149,409.55 : x
  2. Step 2: Convert to fraction form
    206,555.86/284,886.39 = 149,409.55/x
  3. Step 3: Cross multiply
    206,555.86x = 284,886.39 × 149,409.55
  4. Step 4: Simplify right side
    206,555.86x = 42,564,747,331.02
  5. Step 5: Solve for x
    x = 42,564,747,331.02/206,555.86
  6. Step 6: Final answer
    x = 206,068.94

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