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Finding the Fourth Proportional to 149,790.54, 206,616.01 and 113,901.87

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Solution

The fourth proportional to 149,790.54, 206,616.01 and 113,901.87 is: 157,112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,790.54 : 206,616.01 = 113,901.87 : x
  2. Step 2: Convert to fraction form
    149,790.54/206,616.01 = 113,901.87/x
  3. Step 3: Cross multiply
    149,790.54x = 206,616.01 × 113,901.87
  4. Step 4: Simplify right side
    149,790.54x = 23,533,949,910.94
  5. Step 5: Solve for x
    x = 23,533,949,910.94/149,790.54
  6. Step 6: Final answer
    x = 157,112.39

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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.