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Finding the Fourth Proportional to 118,920.24, 164,106.38 and 65,203.43

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Solution

The fourth proportional to 118,920.24, 164,106.38 and 65,203.43 is: 89,978.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,920.24 : 164,106.38 = 65,203.43 : x
  2. Step 2: Convert to fraction form
    118,920.24/164,106.38 = 65,203.43/x
  3. Step 3: Cross multiply
    118,920.24x = 164,106.38 × 65,203.43
  4. Step 4: Simplify right side
    118,920.24x = 10,700,297,714.33
  5. Step 5: Solve for x
    x = 10,700,297,714.33/118,920.24
  6. Step 6: Final answer
    x = 89,978.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.