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Finding the Fourth Proportional to 117,333.51, 175,713.20 and 105,961.12

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Solution

The fourth proportional to 117,333.51, 175,713.20 and 105,961.12 is: 158,682.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,333.51 : 175,713.20 = 105,961.12 : x
  2. Step 2: Convert to fraction form
    117,333.51/175,713.20 = 105,961.12/x
  3. Step 3: Cross multiply
    117,333.51x = 175,713.20 × 105,961.12
  4. Step 4: Simplify right side
    117,333.51x = 18,618,766,899.05
  5. Step 5: Solve for x
    x = 18,618,766,899.05/117,333.51
  6. Step 6: Final answer
    x = 158,682.44

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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.