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Finding the Fourth Proportional to 144,813.35, 217,204 and 38,208.11

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Solution

The fourth proportional to 144,813.35, 217,204 and 38,208.11 is: 57,307.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,813.35 : 217,204 = 38,208.11 : x
  2. Step 2: Convert to fraction form
    144,813.35/217,204 = 38,208.11/x
  3. Step 3: Cross multiply
    144,813.35x = 217,204 × 38,208.11
  4. Step 4: Simplify right side
    144,813.35x = 8,298,954,324.44
  5. Step 5: Solve for x
    x = 8,298,954,324.44/144,813.35
  6. Step 6: Final answer
    x = 57,307.94

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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.