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Finding the Fourth Proportional to 195,852, 293,777.28 and 55,610.64

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Solution

The fourth proportional to 195,852, 293,777.28 and 55,610.64 is: 83,415.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,852 : 293,777.28 = 55,610.64 : x
  2. Step 2: Convert to fraction form
    195,852/293,777.28 = 55,610.64/x
  3. Step 3: Cross multiply
    195,852x = 293,777.28 × 55,610.64
  4. Step 4: Simplify right side
    195,852x = 16,337,142,558.26
  5. Step 5: Solve for x
    x = 16,337,142,558.26/195,852
  6. Step 6: Final answer
    x = 83,415.76

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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.