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Finding the Fourth Proportional to 99,441.54, 149,162.31 and 40,236.48

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Solution

The fourth proportional to 99,441.54, 149,162.31 and 40,236.48 is: 60,354.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,441.54 : 149,162.31 = 40,236.48 : x
  2. Step 2: Convert to fraction form
    99,441.54/149,162.31 = 40,236.48/x
  3. Step 3: Cross multiply
    99,441.54x = 149,162.31 × 40,236.48
  4. Step 4: Simplify right side
    99,441.54x = 6,001,766,303.07
  5. Step 5: Solve for x
    x = 6,001,766,303.07/99,441.54
  6. Step 6: Final answer
    x = 60,354.72

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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.