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Finding the Fourth Proportional to 211,874.74, 292,385.80 and 115,077.61

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Solution

The fourth proportional to 211,874.74, 292,385.80 and 115,077.61 is: 158,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,874.74 : 292,385.80 = 115,077.61 : x
  2. Step 2: Convert to fraction form
    211,874.74/292,385.80 = 115,077.61/x
  3. Step 3: Cross multiply
    211,874.74x = 292,385.80 × 115,077.61
  4. Step 4: Simplify right side
    211,874.74x = 33,647,059,571.27
  5. Step 5: Solve for x
    x = 33,647,059,571.27/211,874.74
  6. Step 6: Final answer
    x = 158,806.38

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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.