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Finding the Fourth Proportional to 127,833.93, 191,268.78 and 76,351.74

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Solution

The fourth proportional to 127,833.93, 191,268.78 and 76,351.74 is: 114,239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,833.93 : 191,268.78 = 76,351.74 : x
  2. Step 2: Convert to fraction form
    127,833.93/191,268.78 = 76,351.74/x
  3. Step 3: Cross multiply
    127,833.93x = 191,268.78 × 76,351.74
  4. Step 4: Simplify right side
    127,833.93x = 14,603,704,160.68
  5. Step 5: Solve for x
    x = 14,603,704,160.68/127,833.93
  6. Step 6: Final answer
    x = 114,239.66

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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.