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Finding the Fourth Proportional to 213,980.41, 320,850.37 and 146,588.43

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Solution

The fourth proportional to 213,980.41, 320,850.37 and 146,588.43 is: 219,800.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,980.41 : 320,850.37 = 146,588.43 : x
  2. Step 2: Convert to fraction form
    213,980.41/320,850.37 = 146,588.43/x
  3. Step 3: Cross multiply
    213,980.41x = 320,850.37 × 146,588.43
  4. Step 4: Simplify right side
    213,980.41x = 47,032,950,760.30
  5. Step 5: Solve for x
    x = 47,032,950,760.30/213,980.41
  6. Step 6: Final answer
    x = 219,800.27

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1.5x scale

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.