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Finding the Fourth Proportional to 118,996.29, 164,186.72 and 67,314.58

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Solution

The fourth proportional to 118,996.29, 164,186.72 and 67,314.58 is: 92,878.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,996.29 : 164,186.72 = 67,314.58 : x
  2. Step 2: Convert to fraction form
    118,996.29/164,186.72 = 67,314.58/x
  3. Step 3: Cross multiply
    118,996.29x = 164,186.72 × 67,314.58
  4. Step 4: Simplify right side
    118,996.29x = 11,052,159,753.27
  5. Step 5: Solve for x
    x = 11,052,159,753.27/118,996.29
  6. Step 6: Final answer
    x = 92,878.19

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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.