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Finding the Fourth Proportional to 213,606.40, 320,458.20 and 124,814.20

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Solution

The fourth proportional to 213,606.40, 320,458.20 and 124,814.20 is: 187,249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,606.40 : 320,458.20 = 124,814.20 : x
  2. Step 2: Convert to fraction form
    213,606.40/320,458.20 = 124,814.20/x
  3. Step 3: Cross multiply
    213,606.40x = 320,458.20 × 124,814.20
  4. Step 4: Simplify right side
    213,606.40x = 39,997,733,866.44
  5. Step 5: Solve for x
    x = 39,997,733,866.44/213,606.40
  6. Step 6: Final answer
    x = 187,249.70

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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.