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Finding the Fourth Proportional to 182,878.50, 274,326.94 and 58,229.22

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Solution

The fourth proportional to 182,878.50, 274,326.94 and 58,229.22 is: 87,346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,878.50 : 274,326.94 = 58,229.22 : x
  2. Step 2: Convert to fraction form
    182,878.50/274,326.94 = 58,229.22/x
  3. Step 3: Cross multiply
    182,878.50x = 274,326.94 × 58,229.22
  4. Step 4: Simplify right side
    182,878.50x = 15,973,844,515.16
  5. Step 5: Solve for x
    x = 15,973,844,515.16/182,878.50
  6. Step 6: Final answer
    x = 87,346.76

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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.