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Finding the Fourth Proportional to 313,102.98, 469,722.54 and 102,733.02

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Solution

The fourth proportional to 313,102.98, 469,722.54 and 102,733.02 is: 154,121.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,102.98 : 469,722.54 = 102,733.02 : x
  2. Step 2: Convert to fraction form
    313,102.98/469,722.54 = 102,733.02/x
  3. Step 3: Cross multiply
    313,102.98x = 469,722.54 × 102,733.02
  4. Step 4: Simplify right side
    313,102.98x = 48,256,015,096.27
  5. Step 5: Solve for x
    x = 48,256,015,096.27/313,102.98
  6. Step 6: Final answer
    x = 154,121.86

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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.