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Finding the Fourth Proportional to 99,064.85, 148,334.81 and 52,219.31

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Solution

The fourth proportional to 99,064.85, 148,334.81 and 52,219.31 is: 78,190.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,064.85 : 148,334.81 = 52,219.31 : x
  2. Step 2: Convert to fraction form
    99,064.85/148,334.81 = 52,219.31/x
  3. Step 3: Cross multiply
    99,064.85x = 148,334.81 × 52,219.31
  4. Step 4: Simplify right side
    99,064.85x = 7,745,940,424.41
  5. Step 5: Solve for x
    x = 7,745,940,424.41/99,064.85
  6. Step 6: Final answer
    x = 78,190.61

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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.