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Finding the Fourth Proportional to 219,832.61, 329,408.43 and 152,495.61

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Solution

The fourth proportional to 219,832.61, 329,408.43 and 152,495.61 is: 228,507.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,832.61 : 329,408.43 = 152,495.61 : x
  2. Step 2: Convert to fraction form
    219,832.61/329,408.43 = 152,495.61/x
  3. Step 3: Cross multiply
    219,832.61x = 329,408.43 × 152,495.61
  4. Step 4: Simplify right side
    219,832.61x = 50,233,337,664.85
  5. Step 5: Solve for x
    x = 50,233,337,664.85/219,832.61
  6. Step 6: Final answer
    x = 228,507.22

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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.