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Finding the Fourth Proportional to 185,187.87, 277,738.67 and 52,080.98

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Solution

The fourth proportional to 185,187.87, 277,738.67 and 52,080.98 is: 78,109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,187.87 : 277,738.67 = 52,080.98 : x
  2. Step 2: Convert to fraction form
    185,187.87/277,738.67 = 52,080.98/x
  3. Step 3: Cross multiply
    185,187.87x = 277,738.67 × 52,080.98
  4. Step 4: Simplify right side
    185,187.87x = 14,464,900,859.01
  5. Step 5: Solve for x
    x = 14,464,900,859.01/185,187.87
  6. Step 6: Final answer
    x = 78,109.33

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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.