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Finding the Fourth Proportional to 205,393.78, 283,415.52 and 114,738.58

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Solution

The fourth proportional to 205,393.78, 283,415.52 and 114,738.58 is: 158,323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,393.78 : 283,415.52 = 114,738.58 : x
  2. Step 2: Convert to fraction form
    205,393.78/283,415.52 = 114,738.58/x
  3. Step 3: Cross multiply
    205,393.78x = 283,415.52 × 114,738.58
  4. Step 4: Simplify right side
    205,393.78x = 32,518,694,314.76
  5. Step 5: Solve for x
    x = 32,518,694,314.76/205,393.78
  6. Step 6: Final answer
    x = 158,323.66

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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.