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Finding the Fourth Proportional to 243,216.86, 364,424.97 and 83,205.32

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Solution

The fourth proportional to 243,216.86, 364,424.97 and 83,205.32 is: 124,671.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,216.86 : 364,424.97 = 83,205.32 : x
  2. Step 2: Convert to fraction form
    243,216.86/364,424.97 = 83,205.32/x
  3. Step 3: Cross multiply
    243,216.86x = 364,424.97 × 83,205.32
  4. Step 4: Simplify right side
    243,216.86x = 30,322,096,452.85
  5. Step 5: Solve for x
    x = 30,322,096,452.85/243,216.86
  6. Step 6: Final answer
    x = 124,671.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.