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Finding the Fourth Proportional to 150,156.45, 207,206.98 and 82,159.85

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Solution

The fourth proportional to 150,156.45, 207,206.98 and 82,159.85 is: 113,375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,156.45 : 207,206.98 = 82,159.85 : x
  2. Step 2: Convert to fraction form
    150,156.45/207,206.98 = 82,159.85/x
  3. Step 3: Cross multiply
    150,156.45x = 207,206.98 × 82,159.85
  4. Step 4: Simplify right side
    150,156.45x = 17,024,094,708.37
  5. Step 5: Solve for x
    x = 17,024,094,708.37/150,156.45
  6. Step 6: Final answer
    x = 113,375.71

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