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Finding the Fourth Proportional to 213,818.52, 320,747.22 and 56,046.36

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Solution

The fourth proportional to 213,818.52, 320,747.22 and 56,046.36 is: 84,074.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,818.52 : 320,747.22 = 56,046.36 : x
  2. Step 2: Convert to fraction form
    213,818.52/320,747.22 = 56,046.36/x
  3. Step 3: Cross multiply
    213,818.52x = 320,747.22 × 56,046.36
  4. Step 4: Simplify right side
    213,818.52x = 17,976,714,161.12
  5. Step 5: Solve for x
    x = 17,976,714,161.12/213,818.52
  6. Step 6: Final answer
    x = 84,074.64

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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.