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Finding the Fourth Proportional to 158,907.20, 219,311.46 and 91,839.20

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Solution

The fourth proportional to 158,907.20, 219,311.46 and 91,839.20 is: 126,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,907.20 : 219,311.46 = 91,839.20 : x
  2. Step 2: Convert to fraction form
    158,907.20/219,311.46 = 91,839.20/x
  3. Step 3: Cross multiply
    158,907.20x = 219,311.46 × 91,839.20
  4. Step 4: Simplify right side
    158,907.20x = 20,141,389,037.23
  5. Step 5: Solve for x
    x = 20,141,389,037.23/158,907.20
  6. Step 6: Final answer
    x = 126,749.38

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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.