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Finding the Fourth Proportional to 127,871.20, 191,806.80 and 56,777.16

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Solution

The fourth proportional to 127,871.20, 191,806.80 and 56,777.16 is: 85,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,871.20 : 191,806.80 = 56,777.16 : x
  2. Step 2: Convert to fraction form
    127,871.20/191,806.80 = 56,777.16/x
  3. Step 3: Cross multiply
    127,871.20x = 191,806.80 × 56,777.16
  4. Step 4: Simplify right side
    127,871.20x = 10,890,245,372.69
  5. Step 5: Solve for x
    x = 10,890,245,372.69/127,871.20
  6. Step 6: Final answer
    x = 85,165.74

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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.