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Finding the Fourth Proportional to 100,674.75, 151,012.17 and 26,802.75

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Solution

The fourth proportional to 100,674.75, 151,012.17 and 26,802.75 is: 40,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,674.75 : 151,012.17 = 26,802.75 : x
  2. Step 2: Convert to fraction form
    100,674.75/151,012.17 = 26,802.75/x
  3. Step 3: Cross multiply
    100,674.75x = 151,012.17 × 26,802.75
  4. Step 4: Simplify right side
    100,674.75x = 4,047,541,439.47
  5. Step 5: Solve for x
    x = 4,047,541,439.47/100,674.75
  6. Step 6: Final answer
    x = 40,204.14

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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.