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Finding the Fourth Proportional to 96,940.40, 145,410.60 and 54,777.20

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Solution

The fourth proportional to 96,940.40, 145,410.60 and 54,777.20 is: 82,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,940.40 : 145,410.60 = 54,777.20 : x
  2. Step 2: Convert to fraction form
    96,940.40/145,410.60 = 54,777.20/x
  3. Step 3: Cross multiply
    96,940.40x = 145,410.60 × 54,777.20
  4. Step 4: Simplify right side
    96,940.40x = 7,965,185,518.32
  5. Step 5: Solve for x
    x = 7,965,185,518.32/96,940.40
  6. Step 6: Final answer
    x = 82,165.80

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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.