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Finding the Fourth Proportional to 219,878.30, 328,833.30 and 184,448.90

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Solution

The fourth proportional to 219,878.30, 328,833.30 and 184,448.90 is: 275,847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,878.30 : 328,833.30 = 184,448.90 : x
  2. Step 2: Convert to fraction form
    219,878.30/328,833.30 = 184,448.90/x
  3. Step 3: Cross multiply
    219,878.30x = 328,833.30 × 184,448.90
  4. Step 4: Simplify right side
    219,878.30x = 60,652,940,468.37
  5. Step 5: Solve for x
    x = 60,652,940,468.37/219,878.30
  6. Step 6: Final answer
    x = 275,847.78

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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.