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Finding the Fourth Proportional to 146,396.64, 219,607.92 and 41,216.64

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Solution

The fourth proportional to 146,396.64, 219,607.92 and 41,216.64 is: 61,828.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,396.64 : 219,607.92 = 41,216.64 : x
  2. Step 2: Convert to fraction form
    146,396.64/219,607.92 = 41,216.64/x
  3. Step 3: Cross multiply
    146,396.64x = 219,607.92 × 41,216.64
  4. Step 4: Simplify right side
    146,396.64x = 9,051,500,579.79
  5. Step 5: Solve for x
    x = 9,051,500,579.79/146,396.64
  6. Step 6: Final answer
    x = 61,828.61

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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.