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Finding the Fourth Proportional to 114,297.50, 157,694.10 and 74,042.12

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Solution

The fourth proportional to 114,297.50, 157,694.10 and 74,042.12 is: 102,154.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,297.50 : 157,694.10 = 74,042.12 : x
  2. Step 2: Convert to fraction form
    114,297.50/157,694.10 = 74,042.12/x
  3. Step 3: Cross multiply
    114,297.50x = 157,694.10 × 74,042.12
  4. Step 4: Simplify right side
    114,297.50x = 11,676,005,475.49
  5. Step 5: Solve for x
    x = 11,676,005,475.49/114,297.50
  6. Step 6: Final answer
    x = 102,154.51

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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.