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Finding the Fourth Proportional to 120,112.58, 165,757.38 and 69,811.58

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Solution

The fourth proportional to 120,112.58, 165,757.38 and 69,811.58 is: 96,341.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,112.58 : 165,757.38 = 69,811.58 : x
  2. Step 2: Convert to fraction form
    120,112.58/165,757.38 = 69,811.58/x
  3. Step 3: Cross multiply
    120,112.58x = 165,757.38 × 69,811.58
  4. Step 4: Simplify right side
    120,112.58x = 11,571,784,594.46
  5. Step 5: Solve for x
    x = 11,571,784,594.46/120,112.58
  6. Step 6: Final answer
    x = 96,341.15

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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.