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Finding the Fourth Proportional to 205,193.32, 283,131.70 and 114,544.60

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Solution

The fourth proportional to 205,193.32, 283,131.70 and 114,544.60 is: 158,051.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,193.32 : 283,131.70 = 114,544.60 : x
  2. Step 2: Convert to fraction form
    205,193.32/283,131.70 = 114,544.60/x
  3. Step 3: Cross multiply
    205,193.32x = 283,131.70 × 114,544.60
  4. Step 4: Simplify right side
    205,193.32x = 32,431,207,323.82
  5. Step 5: Solve for x
    x = 32,431,207,323.82/205,193.32
  6. Step 6: Final answer
    x = 158,051.96

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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.