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Finding the Fourth Proportional to 219,766.89, 303,280.14 and 119,164.89

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Solution

The fourth proportional to 219,766.89, 303,280.14 and 119,164.89 is: 164,448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,766.89 : 303,280.14 = 119,164.89 : x
  2. Step 2: Convert to fraction form
    219,766.89/303,280.14 = 119,164.89/x
  3. Step 3: Cross multiply
    219,766.89x = 303,280.14 × 119,164.89
  4. Step 4: Simplify right side
    219,766.89x = 36,140,344,522.28
  5. Step 5: Solve for x
    x = 36,140,344,522.28/219,766.89
  6. Step 6: Final answer
    x = 164,448.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.