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Finding the Fourth Proportional to 127,047.66, 190,685.71 and 67,933.86

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Solution

The fourth proportional to 127,047.66, 190,685.71 and 67,933.86 is: 101,961.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,047.66 : 190,685.71 = 67,933.86 : x
  2. Step 2: Convert to fraction form
    127,047.66/190,685.71 = 67,933.86/x
  3. Step 3: Cross multiply
    127,047.66x = 190,685.71 × 67,933.86
  4. Step 4: Simplify right side
    127,047.66x = 12,954,016,327.14
  5. Step 5: Solve for x
    x = 12,954,016,327.14/127,047.66
  6. Step 6: Final answer
    x = 101,961.86

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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.