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Finding the Fourth Proportional to 113,694.30, 170,213.40 and 100,572.30

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Solution

The fourth proportional to 113,694.30, 170,213.40 and 100,572.30 is: 150,568.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,694.30 : 170,213.40 = 100,572.30 : x
  2. Step 2: Convert to fraction form
    113,694.30/170,213.40 = 100,572.30/x
  3. Step 3: Cross multiply
    113,694.30x = 170,213.40 × 100,572.30
  4. Step 4: Simplify right side
    113,694.30x = 17,118,753,128.82
  5. Step 5: Solve for x
    x = 17,118,753,128.82/113,694.30
  6. Step 6: Final answer
    x = 150,568.26

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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.