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Finding the Fourth Proportional to 146,524.16, 219,786.24 and 53,008.16

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Solution

The fourth proportional to 146,524.16, 219,786.24 and 53,008.16 is: 79,512.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,524.16 : 219,786.24 = 53,008.16 : x
  2. Step 2: Convert to fraction form
    146,524.16/219,786.24 = 53,008.16/x
  3. Step 3: Cross multiply
    146,524.16x = 219,786.24 × 53,008.16
  4. Step 4: Simplify right side
    146,524.16x = 11,650,464,175.72
  5. Step 5: Solve for x
    x = 11,650,464,175.72/146,524.16
  6. Step 6: Final answer
    x = 79,512.24

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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.