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Finding the Fourth Proportional to 219,864.80, 328,813.05 and 184,435.40

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Solution

The fourth proportional to 219,864.80, 328,813.05 and 184,435.40 is: 275,827.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,864.80 : 328,813.05 = 184,435.40 : x
  2. Step 2: Convert to fraction form
    219,864.80/328,813.05 = 184,435.40/x
  3. Step 3: Cross multiply
    219,864.80x = 328,813.05 × 184,435.40
  4. Step 4: Simplify right side
    219,864.80x = 60,644,766,401.97
  5. Step 5: Solve for x
    x = 60,644,766,401.97/219,864.80
  6. Step 6: Final answer
    x = 275,827.54

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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.