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Finding the Fourth Proportional to 150,655.64, 207,906.48 and 82,670.70

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Solution

The fourth proportional to 150,655.64, 207,906.48 and 82,670.70 is: 114,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,655.64 : 207,906.48 = 82,670.70 : x
  2. Step 2: Convert to fraction form
    150,655.64/207,906.48 = 82,670.70/x
  3. Step 3: Cross multiply
    150,655.64x = 207,906.48 × 82,670.70
  4. Step 4: Simplify right side
    150,655.64x = 17,187,774,236.14
  5. Step 5: Solve for x
    x = 17,187,774,236.14/150,655.64
  6. Step 6: Final answer
    x = 114,086.50

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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.