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Finding the Fourth Proportional to 219,872.80, 328,825.05 and 184,443.40

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Solution

The fourth proportional to 219,872.80, 328,825.05 and 184,443.40 is: 275,839.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,872.80 : 328,825.05 = 184,443.40 : x
  2. Step 2: Convert to fraction form
    219,872.80/328,825.05 = 184,443.40/x
  3. Step 3: Cross multiply
    219,872.80x = 328,825.05 × 184,443.40
  4. Step 4: Simplify right side
    219,872.80x = 60,649,610,227.17
  5. Step 5: Solve for x
    x = 60,649,610,227.17/219,872.80
  6. Step 6: Final answer
    x = 275,839.53

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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.