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Finding the Fourth Proportional to 185,137.96, 277,707 and 44,896.58

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Solution

The fourth proportional to 185,137.96, 277,707 and 44,896.58 is: 67,344.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,137.96 : 277,707 = 44,896.58 : x
  2. Step 2: Convert to fraction form
    185,137.96/277,707 = 44,896.58/x
  3. Step 3: Cross multiply
    185,137.96x = 277,707 × 44,896.58
  4. Step 4: Simplify right side
    185,137.96x = 12,468,094,542.06
  5. Step 5: Solve for x
    x = 12,468,094,542.06/185,137.96
  6. Step 6: Final answer
    x = 67,344.88

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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.