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Finding the Fourth Proportional to 213,731.10, 320,596.65 and 204,630.30

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Solution

The fourth proportional to 213,731.10, 320,596.65 and 204,630.30 is: 306,945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,731.10 : 320,596.65 = 204,630.30 : x
  2. Step 2: Convert to fraction form
    213,731.10/320,596.65 = 204,630.30/x
  3. Step 3: Cross multiply
    213,731.10x = 320,596.65 × 204,630.30
  4. Step 4: Simplify right side
    213,731.10x = 65,603,788,668.50
  5. Step 5: Solve for x
    x = 65,603,788,668.50/213,731.10
  6. Step 6: Final answer
    x = 306,945.45

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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.