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Finding the Fourth Proportional to 228,453.26, 342,568.88 and 114,552.14

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Solution

The fourth proportional to 228,453.26, 342,568.88 and 114,552.14 is: 171,772.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,453.26 : 342,568.88 = 114,552.14 : x
  2. Step 2: Convert to fraction form
    228,453.26/342,568.88 = 114,552.14/x
  3. Step 3: Cross multiply
    228,453.26x = 342,568.88 × 114,552.14
  4. Step 4: Simplify right side
    228,453.26x = 39,241,997,728.64
  5. Step 5: Solve for x
    x = 39,241,997,728.64/228,453.26
  6. Step 6: Final answer
    x = 171,772.54

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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.