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Finding the Fourth Proportional to 194,596.68, 268,543.26 and 105,172.68

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Solution

The fourth proportional to 194,596.68, 268,543.26 and 105,172.68 is: 145,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,596.68 : 268,543.26 = 105,172.68 : x
  2. Step 2: Convert to fraction form
    194,596.68/268,543.26 = 105,172.68/x
  3. Step 3: Cross multiply
    194,596.68x = 268,543.26 × 105,172.68
  4. Step 4: Simplify right side
    194,596.68x = 28,243,414,350.14
  5. Step 5: Solve for x
    x = 28,243,414,350.14/194,596.68
  6. Step 6: Final answer
    x = 145,138.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.