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Finding the Fourth Proportional to 219,382.86, 329,074.26 and 53,170.86

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Solution

The fourth proportional to 219,382.86, 329,074.26 and 53,170.86 is: 79,756.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,382.86 : 329,074.26 = 53,170.86 : x
  2. Step 2: Convert to fraction form
    219,382.86/329,074.26 = 53,170.86/x
  3. Step 3: Cross multiply
    219,382.86x = 329,074.26 × 53,170.86
  4. Step 4: Simplify right side
    219,382.86x = 17,497,161,408.06
  5. Step 5: Solve for x
    x = 17,497,161,408.06/219,382.86
  6. Step 6: Final answer
    x = 79,756.28

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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.