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Finding the Fourth Proportional to 213,625.40, 320,410.29 and 55,866.02

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Solution

The fourth proportional to 213,625.40, 320,410.29 and 55,866.02 is: 83,791.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,625.40 : 320,410.29 = 55,866.02 : x
  2. Step 2: Convert to fraction form
    213,625.40/320,410.29 = 55,866.02/x
  3. Step 3: Cross multiply
    213,625.40x = 320,410.29 × 55,866.02
  4. Step 4: Simplify right side
    213,625.40x = 17,900,047,669.35
  5. Step 5: Solve for x
    x = 17,900,047,669.35/213,625.40
  6. Step 6: Final answer
    x = 83,791.76

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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.