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Finding the Fourth Proportional to 157,544, 236,183.52 and 64,116.80

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Solution

The fourth proportional to 157,544, 236,183.52 and 64,116.80 is: 96,121.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,544 : 236,183.52 = 64,116.80 : x
  2. Step 2: Convert to fraction form
    157,544/236,183.52 = 64,116.80/x
  3. Step 3: Cross multiply
    157,544x = 236,183.52 × 64,116.80
  4. Step 4: Simplify right side
    157,544x = 15,143,331,515.14
  5. Step 5: Solve for x
    x = 15,143,331,515.14/157,544
  6. Step 6: Final answer
    x = 96,121.28

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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.