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Finding the Fourth Proportional to 118,962, 178,472.16 and 35,856

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Solution

The fourth proportional to 118,962, 178,472.16 and 35,856 is: 53,792.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,962 : 178,472.16 = 35,856 : x
  2. Step 2: Convert to fraction form
    118,962/178,472.16 = 35,856/x
  3. Step 3: Cross multiply
    118,962x = 178,472.16 × 35,856
  4. Step 4: Simplify right side
    118,962x = 6,399,297,768.96
  5. Step 5: Solve for x
    x = 6,399,297,768.96/118,962
  6. Step 6: Final answer
    x = 53,792.79

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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.