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Finding the Fourth Proportional to 219,776.12, 329,683.62 and 119,893.40

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Solution

The fourth proportional to 219,776.12, 329,683.62 and 119,893.40 is: 179,850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,776.12 : 329,683.62 = 119,893.40 : x
  2. Step 2: Convert to fraction form
    219,776.12/329,683.62 = 119,893.40/x
  3. Step 3: Cross multiply
    219,776.12x = 329,683.62 × 119,893.40
  4. Step 4: Simplify right side
    219,776.12x = 39,526,890,126.11
  5. Step 5: Solve for x
    x = 39,526,890,126.11/219,776.12
  6. Step 6: Final answer
    x = 179,850.71

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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.