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Finding the Fourth Proportional to 213,580.53, 320,359.77 and 63,822.06

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Solution

The fourth proportional to 213,580.53, 320,359.77 and 63,822.06 is: 95,729.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,580.53 : 320,359.77 = 63,822.06 : x
  2. Step 2: Convert to fraction form
    213,580.53/320,359.77 = 63,822.06/x
  3. Step 3: Cross multiply
    213,580.53x = 320,359.77 × 63,822.06
  4. Step 4: Simplify right side
    213,580.53x = 20,446,020,462.53
  5. Step 5: Solve for x
    x = 20,446,020,462.53/213,580.53
  6. Step 6: Final answer
    x = 95,729.80

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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.