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Finding the Fourth Proportional to 106,161.84, 158,392.26 and 84,714.66

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Solution

The fourth proportional to 106,161.84, 158,392.26 and 84,714.66 is: 126,393.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,161.84 : 158,392.26 = 84,714.66 : x
  2. Step 2: Convert to fraction form
    106,161.84/158,392.26 = 84,714.66/x
  3. Step 3: Cross multiply
    106,161.84x = 158,392.26 × 84,714.66
  4. Step 4: Simplify right side
    106,161.84x = 13,418,146,452.53
  5. Step 5: Solve for x
    x = 13,418,146,452.53/106,161.84
  6. Step 6: Final answer
    x = 126,393.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.