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Finding the Fourth Proportional to 117,256, 175,884 and 29,704

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Solution

The fourth proportional to 117,256, 175,884 and 29,704 is: 44,556

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,256 : 175,884 = 29,704 : x
  2. Step 2: Convert to fraction form
    117,256/175,884 = 29,704/x
  3. Step 3: Cross multiply
    117,256x = 175,884 × 29,704
  4. Step 4: Simplify right side
    117,256x = 5,224,458,336
  5. Step 5: Solve for x
    x = 5,224,458,336/117,256
  6. Step 6: Final answer
    x = 44,556

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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.