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Finding the Fourth Proportional to 117,198.51, 175,802.63 and 34,092.51

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Solution

The fourth proportional to 117,198.51, 175,802.63 and 34,092.51 is: 51,140.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,198.51 : 175,802.63 = 34,092.51 : x
  2. Step 2: Convert to fraction form
    117,198.51/175,802.63 = 34,092.51/x
  3. Step 3: Cross multiply
    117,198.51x = 175,802.63 × 34,092.51
  4. Step 4: Simplify right side
    117,198.51x = 5,993,552,750.84
  5. Step 5: Solve for x
    x = 5,993,552,750.84/117,198.51
  6. Step 6: Final answer
    x = 51,140.18

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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.