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Finding the Fourth Proportional to 213,237.96, 319,506.84 and 72,920.04

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Solution

The fourth proportional to 213,237.96, 319,506.84 and 72,920.04 is: 109,260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,237.96 : 319,506.84 = 72,920.04 : x
  2. Step 2: Convert to fraction form
    213,237.96/319,506.84 = 72,920.04/x
  3. Step 3: Cross multiply
    213,237.96x = 319,506.84 × 72,920.04
  4. Step 4: Simplify right side
    213,237.96x = 23,298,451,553.07
  5. Step 5: Solve for x
    x = 23,298,451,553.07/213,237.96
  6. Step 6: Final answer
    x = 109,260.34

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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.