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Finding the Fourth Proportional to 219,865.30, 328,813.80 and 184,435.90

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Solution

The fourth proportional to 219,865.30, 328,813.80 and 184,435.90 is: 275,828.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,865.30 : 328,813.80 = 184,435.90 : x
  2. Step 2: Convert to fraction form
    219,865.30/328,813.80 = 184,435.90/x
  3. Step 3: Cross multiply
    219,865.30x = 328,813.80 × 184,435.90
  4. Step 4: Simplify right side
    219,865.30x = 60,645,069,135.42
  5. Step 5: Solve for x
    x = 60,645,069,135.42/219,865.30
  6. Step 6: Final answer
    x = 275,828.29

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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.