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Finding the Fourth Proportional to 142,149.15, 196,164.54 and 78,485.58

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Solution

The fourth proportional to 142,149.15, 196,164.54 and 78,485.58 is: 108,309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,149.15 : 196,164.54 = 78,485.58 : x
  2. Step 2: Convert to fraction form
    142,149.15/196,164.54 = 78,485.58/x
  3. Step 3: Cross multiply
    142,149.15x = 196,164.54 × 78,485.58
  4. Step 4: Simplify right side
    142,149.15x = 15,396,087,697.33
  5. Step 5: Solve for x
    x = 15,396,087,697.33/142,149.15
  6. Step 6: Final answer
    x = 108,309.39

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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.