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Finding the Fourth Proportional to 127,845.20, 191,854.20 and 71,685.20

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Solution

The fourth proportional to 127,845.20, 191,854.20 and 71,685.20 is: 107,576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,845.20 : 191,854.20 = 71,685.20 : x
  2. Step 2: Convert to fraction form
    127,845.20/191,854.20 = 71,685.20/x
  3. Step 3: Cross multiply
    127,845.20x = 191,854.20 × 71,685.20
  4. Step 4: Simplify right side
    127,845.20x = 13,753,106,697.84
  5. Step 5: Solve for x
    x = 13,753,106,697.84/127,845.20
  6. Step 6: Final answer
    x = 107,576.25

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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.