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Finding the Fourth Proportional to 205,284.70, 283,417.94 and 140,859.77

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Solution

The fourth proportional to 205,284.70, 283,417.94 and 140,859.77 is: 194,472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,284.70 : 283,417.94 = 140,859.77 : x
  2. Step 2: Convert to fraction form
    205,284.70/283,417.94 = 140,859.77/x
  3. Step 3: Cross multiply
    205,284.70x = 283,417.94 × 140,859.77
  4. Step 4: Simplify right side
    205,284.70x = 39,922,185,137.97
  5. Step 5: Solve for x
    x = 39,922,185,137.97/205,284.70
  6. Step 6: Final answer
    x = 194,472.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.