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Finding the Fourth Proportional to 114,297.75, 157,694.45 and 74,042.37

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Solution

The fourth proportional to 114,297.75, 157,694.45 and 74,042.37 is: 102,154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,297.75 : 157,694.45 = 74,042.37 : x
  2. Step 2: Convert to fraction form
    114,297.75/157,694.45 = 74,042.37/x
  3. Step 3: Cross multiply
    114,297.75x = 157,694.45 × 74,042.37
  4. Step 4: Simplify right side
    114,297.75x = 11,676,070,443.63
  5. Step 5: Solve for x
    x = 11,676,070,443.63/114,297.75
  6. Step 6: Final answer
    x = 102,154.86

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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.