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Finding the Fourth Proportional to 127,840.44, 191,742.87 and 67,842.66

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Solution

The fourth proportional to 127,840.44, 191,742.87 and 67,842.66 is: 101,754.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,840.44 : 191,742.87 = 67,842.66 : x
  2. Step 2: Convert to fraction form
    127,840.44/191,742.87 = 67,842.66/x
  3. Step 3: Cross multiply
    127,840.44x = 191,742.87 × 67,842.66
  4. Step 4: Simplify right side
    127,840.44x = 13,008,346,336.83
  5. Step 5: Solve for x
    x = 13,008,346,336.83/127,840.44
  6. Step 6: Final answer
    x = 101,754.55

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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.