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Finding the Fourth Proportional to 109,129.38, 150,597.09 and 61,382.70

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Solution

The fourth proportional to 109,129.38, 150,597.09 and 61,382.70 is: 84,707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,129.38 : 150,597.09 = 61,382.70 : x
  2. Step 2: Convert to fraction form
    109,129.38/150,597.09 = 61,382.70/x
  3. Step 3: Cross multiply
    109,129.38x = 150,597.09 × 61,382.70
  4. Step 4: Simplify right side
    109,129.38x = 9,244,055,996.34
  5. Step 5: Solve for x
    x = 9,244,055,996.34/109,129.38
  6. Step 6: Final answer
    x = 84,707.31

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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.