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Finding the Fourth Proportional to 117,182.22, 175,538.22 and 53,914.20

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Solution

The fourth proportional to 117,182.22, 175,538.22 and 53,914.20 is: 80,763.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,182.22 : 175,538.22 = 53,914.20 : x
  2. Step 2: Convert to fraction form
    117,182.22/175,538.22 = 53,914.20/x
  3. Step 3: Cross multiply
    117,182.22x = 175,538.22 × 53,914.20
  4. Step 4: Simplify right side
    117,182.22x = 9,464,002,700.72
  5. Step 5: Solve for x
    x = 9,464,002,700.72/117,182.22
  6. Step 6: Final answer
    x = 80,763.13

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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.