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Finding the Fourth Proportional to 231,424.70, 347,012.22 and 104,995.96

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Solution

The fourth proportional to 231,424.70, 347,012.22 and 104,995.96 is: 157,437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,424.70 : 347,012.22 = 104,995.96 : x
  2. Step 2: Convert to fraction form
    231,424.70/347,012.22 = 104,995.96/x
  3. Step 3: Cross multiply
    231,424.70x = 347,012.22 × 104,995.96
  4. Step 4: Simplify right side
    231,424.70x = 36,434,880,303.10
  5. Step 5: Solve for x
    x = 36,434,880,303.10/231,424.70
  6. Step 6: Final answer
    x = 157,437.30

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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.