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Finding the Fourth Proportional to 99,471.88, 149,216 and 43,313.84

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Solution

The fourth proportional to 99,471.88, 149,216 and 43,313.84 is: 64,974.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,471.88 : 149,216 = 43,313.84 : x
  2. Step 2: Convert to fraction form
    99,471.88/149,216 = 43,313.84/x
  3. Step 3: Cross multiply
    99,471.88x = 149,216 × 43,313.84
  4. Step 4: Simplify right side
    99,471.88x = 6,463,117,949.44
  5. Step 5: Solve for x
    x = 6,463,117,949.44/99,471.88
  6. Step 6: Final answer
    x = 64,974.32

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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.