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Finding the Fourth Proportional to 213,796.46, 320,805.30 and 155,116.46

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Solution

The fourth proportional to 213,796.46, 320,805.30 and 155,116.46 is: 232,754.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,796.46 : 320,805.30 = 155,116.46 : x
  2. Step 2: Convert to fraction form
    213,796.46/320,805.30 = 155,116.46/x
  3. Step 3: Cross multiply
    213,796.46x = 320,805.30 × 155,116.46
  4. Step 4: Simplify right side
    213,796.46x = 49,762,182,485.24
  5. Step 5: Solve for x
    x = 49,762,182,485.24/213,796.46
  6. Step 6: Final answer
    x = 232,754.94

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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.