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Finding the Fourth Proportional to 182,042.40, 251,212.68 and 114,096

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Solution

The fourth proportional to 182,042.40, 251,212.68 and 114,096 is: 157,448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,042.40 : 251,212.68 = 114,096 : x
  2. Step 2: Convert to fraction form
    182,042.40/251,212.68 = 114,096/x
  3. Step 3: Cross multiply
    182,042.40x = 251,212.68 × 114,096
  4. Step 4: Simplify right side
    182,042.40x = 28,662,361,937.28
  5. Step 5: Solve for x
    x = 28,662,361,937.28/182,042.40
  6. Step 6: Final answer
    x = 157,448.82

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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.