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Finding the Fourth Proportional to 219,390.96, 329,098.75 and 61,607.11

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Solution

The fourth proportional to 219,390.96, 329,098.75 and 61,607.11 is: 92,414.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,390.96 : 329,098.75 = 61,607.11 : x
  2. Step 2: Convert to fraction form
    219,390.96/329,098.75 = 61,607.11/x
  3. Step 3: Cross multiply
    219,390.96x = 329,098.75 × 61,607.11
  4. Step 4: Simplify right side
    219,390.96x = 20,274,823,149.47
  5. Step 5: Solve for x
    x = 20,274,823,149.47/219,390.96
  6. Step 6: Final answer
    x = 92,414.12

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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.