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Finding the Fourth Proportional to 142,806.24, 197,050.32 and 82,379.16

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Solution

The fourth proportional to 142,806.24, 197,050.32 and 82,379.16 is: 113,670.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,806.24 : 197,050.32 = 82,379.16 : x
  2. Step 2: Convert to fraction form
    142,806.24/197,050.32 = 82,379.16/x
  3. Step 3: Cross multiply
    142,806.24x = 197,050.32 × 82,379.16
  4. Step 4: Simplify right side
    142,806.24x = 16,232,839,839.33
  5. Step 5: Solve for x
    x = 16,232,839,839.33/142,806.24
  6. Step 6: Final answer
    x = 113,670.38

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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.