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Finding the Fourth Proportional to 102,635.20, 153,837.44 and 67,164.48

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Solution

The fourth proportional to 102,635.20, 153,837.44 and 67,164.48 is: 100,671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,635.20 : 153,837.44 = 67,164.48 : x
  2. Step 2: Convert to fraction form
    102,635.20/153,837.44 = 67,164.48/x
  3. Step 3: Cross multiply
    102,635.20x = 153,837.44 × 67,164.48
  4. Step 4: Simplify right side
    102,635.20x = 10,332,411,662.13
  5. Step 5: Solve for x
    x = 10,332,411,662.13/102,635.20
  6. Step 6: Final answer
    x = 100,671.23

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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.