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Finding the Fourth Proportional to 117,161.26, 175,746.75 and 34,055.26

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Solution

The fourth proportional to 117,161.26, 175,746.75 and 34,055.26 is: 51,084.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,161.26 : 175,746.75 = 34,055.26 : x
  2. Step 2: Convert to fraction form
    117,161.26/175,746.75 = 34,055.26/x
  3. Step 3: Cross multiply
    117,161.26x = 175,746.75 × 34,055.26
  4. Step 4: Simplify right side
    117,161.26x = 5,985,101,265.41
  5. Step 5: Solve for x
    x = 5,985,101,265.41/117,161.26
  6. Step 6: Final answer
    x = 51,084.30

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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.