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Finding the Fourth Proportional to 99,523.49, 149,178.65 and 49,495.86

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Solution

The fourth proportional to 99,523.49, 149,178.65 and 49,495.86 is: 74,190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,523.49 : 149,178.65 = 49,495.86 : x
  2. Step 2: Convert to fraction form
    99,523.49/149,178.65 = 49,495.86/x
  3. Step 3: Cross multiply
    99,523.49x = 149,178.65 × 49,495.86
  4. Step 4: Simplify right side
    99,523.49x = 7,383,725,327.91
  5. Step 5: Solve for x
    x = 7,383,725,327.91/99,523.49
  6. Step 6: Final answer
    x = 74,190.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.