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Finding the Fourth Proportional to 142,249.06, 196,286.98 and 78,583.06

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Solution

The fourth proportional to 142,249.06, 196,286.98 and 78,583.06 is: 108,435.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,249.06 : 196,286.98 = 78,583.06 : x
  2. Step 2: Convert to fraction form
    142,249.06/196,286.98 = 78,583.06/x
  3. Step 3: Cross multiply
    142,249.06x = 196,286.98 × 78,583.06
  4. Step 4: Simplify right side
    142,249.06x = 15,424,830,152.21
  5. Step 5: Solve for x
    x = 15,424,830,152.21/142,249.06
  6. Step 6: Final answer
    x = 108,435.38

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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.