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Finding the Fourth Proportional to 184,952.70, 255,234.71 and 100,069.77

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Solution

The fourth proportional to 184,952.70, 255,234.71 and 100,069.77 is: 138,096.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,952.70 : 255,234.71 = 100,069.77 : x
  2. Step 2: Convert to fraction form
    184,952.70/255,234.71 = 100,069.77/x
  3. Step 3: Cross multiply
    184,952.70x = 255,234.71 × 100,069.77
  4. Step 4: Simplify right side
    184,952.70x = 25,541,278,225.37
  5. Step 5: Solve for x
    x = 25,541,278,225.37/184,952.70
  6. Step 6: Final answer
    x = 138,096.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.