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Finding the Fourth Proportional to 117,201.33, 175,806.84 and 34,095.33

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Solution

The fourth proportional to 117,201.33, 175,806.84 and 34,095.33 is: 51,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,201.33 : 175,806.84 = 34,095.33 : x
  2. Step 2: Convert to fraction form
    117,201.33/175,806.84 = 34,095.33/x
  3. Step 3: Cross multiply
    117,201.33x = 175,806.84 × 34,095.33
  4. Step 4: Simplify right side
    117,201.33x = 5,994,192,226.06
  5. Step 5: Solve for x
    x = 5,994,192,226.06/117,201.33
  6. Step 6: Final answer
    x = 51,144.40

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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.