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Finding the Fourth Proportional to 146,961.60, 202,808.72 and 81,551.77

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Solution

The fourth proportional to 146,961.60, 202,808.72 and 81,551.77 is: 112,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,961.60 : 202,808.72 = 81,551.77 : x
  2. Step 2: Convert to fraction form
    146,961.60/202,808.72 = 81,551.77/x
  3. Step 3: Cross multiply
    146,961.60x = 202,808.72 × 81,551.77
  4. Step 4: Simplify right side
    146,961.60x = 16,539,410,542.15
  5. Step 5: Solve for x
    x = 16,539,410,542.15/146,961.60
  6. Step 6: Final answer
    x = 112,542.39

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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.