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Finding the Fourth Proportional to 117,992, 177,022.56 and 34,888.16

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Solution

The fourth proportional to 117,992, 177,022.56 and 34,888.16 is: 52,342.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,992 : 177,022.56 = 34,888.16 : x
  2. Step 2: Convert to fraction form
    117,992/177,022.56 = 34,888.16/x
  3. Step 3: Cross multiply
    117,992x = 177,022.56 × 34,888.16
  4. Step 4: Simplify right side
    117,992x = 6,175,991,396.89
  5. Step 5: Solve for x
    x = 6,175,991,396.89/117,992
  6. Step 6: Final answer
    x = 52,342.46

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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.