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Finding the Fourth Proportional to 118,093.20, 177,344.60 and 83,277.20

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Solution

The fourth proportional to 118,093.20, 177,344.60 and 83,277.20 is: 125,060.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,093.20 : 177,344.60 = 83,277.20 : x
  2. Step 2: Convert to fraction form
    118,093.20/177,344.60 = 83,277.20/x
  3. Step 3: Cross multiply
    118,093.20x = 177,344.60 × 83,277.20
  4. Step 4: Simplify right side
    118,093.20x = 14,768,761,723.12
  5. Step 5: Solve for x
    x = 14,768,761,723.12/118,093.20
  6. Step 6: Final answer
    x = 125,060.22

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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.