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Finding the Fourth Proportional to 142,179.86, 196,240.38 and 101,939.06

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Solution

The fourth proportional to 142,179.86, 196,240.38 and 101,939.06 is: 140,698.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,179.86 : 196,240.38 = 101,939.06 : x
  2. Step 2: Convert to fraction form
    142,179.86/196,240.38 = 101,939.06/x
  3. Step 3: Cross multiply
    142,179.86x = 196,240.38 × 101,939.06
  4. Step 4: Simplify right side
    142,179.86x = 20,004,559,871.24
  5. Step 5: Solve for x
    x = 20,004,559,871.24/142,179.86
  6. Step 6: Final answer
    x = 140,698.97

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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.