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Finding the Fourth Proportional to 119,827.38, 165,361.32 and 66,115.74

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Solution

The fourth proportional to 119,827.38, 165,361.32 and 66,115.74 is: 91,239.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,827.38 : 165,361.32 = 66,115.74 : x
  2. Step 2: Convert to fraction form
    119,827.38/165,361.32 = 66,115.74/x
  3. Step 3: Cross multiply
    119,827.38x = 165,361.32 × 66,115.74
  4. Step 4: Simplify right side
    119,827.38x = 10,932,986,039.18
  5. Step 5: Solve for x
    x = 10,932,986,039.18/119,827.38
  6. Step 6: Final answer
    x = 91,239.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.