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Finding the Fourth Proportional to 224,182.98, 336,200.67 and 81,995.94

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Solution

The fourth proportional to 224,182.98, 336,200.67 and 81,995.94 is: 122,966.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,182.98 : 336,200.67 = 81,995.94 : x
  2. Step 2: Convert to fraction form
    224,182.98/336,200.67 = 81,995.94/x
  3. Step 3: Cross multiply
    224,182.98x = 336,200.67 × 81,995.94
  4. Step 4: Simplify right side
    224,182.98x = 27,567,089,965.28
  5. Step 5: Solve for x
    x = 27,567,089,965.28/224,182.98
  6. Step 6: Final answer
    x = 122,966.92

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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.