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Finding the Fourth Proportional to 117,242.92, 175,843.74 and 34,117.48

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Solution

The fourth proportional to 117,242.92, 175,843.74 and 34,117.48 is: 51,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,242.92 : 175,843.74 = 34,117.48 : x
  2. Step 2: Convert to fraction form
    117,242.92/175,843.74 = 34,117.48/x
  3. Step 3: Cross multiply
    117,242.92x = 175,843.74 × 34,117.48
  4. Step 4: Simplify right side
    117,242.92x = 5,999,345,282.58
  5. Step 5: Solve for x
    x = 5,999,345,282.58/117,242.92
  6. Step 6: Final answer
    x = 51,170.21

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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.