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Finding the Fourth Proportional to 184,234.92, 275,780.31 and 99,785.33

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Solution

The fourth proportional to 184,234.92, 275,780.31 and 99,785.33 is: 149,368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,234.92 : 275,780.31 = 99,785.33 : x
  2. Step 2: Convert to fraction form
    184,234.92/275,780.31 = 99,785.33/x
  3. Step 3: Cross multiply
    184,234.92x = 275,780.31 × 99,785.33
  4. Step 4: Simplify right side
    184,234.92x = 27,518,829,240.85
  5. Step 5: Solve for x
    x = 27,518,829,240.85/184,234.92
  6. Step 6: Final answer
    x = 149,368.15

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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.