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Finding the Fourth Proportional to 185,213.70, 277,820.86 and 44,972.32

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Solution

The fourth proportional to 185,213.70, 277,820.86 and 44,972.32 is: 67,458.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,213.70 : 277,820.86 = 44,972.32 : x
  2. Step 2: Convert to fraction form
    185,213.70/277,820.86 = 44,972.32/x
  3. Step 3: Cross multiply
    185,213.70x = 277,820.86 × 44,972.32
  4. Step 4: Simplify right side
    185,213.70x = 12,494,248,618.60
  5. Step 5: Solve for x
    x = 12,494,248,618.60/185,213.70
  6. Step 6: Final answer
    x = 67,458.56

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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.