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Finding the Fourth Proportional to 205,473.51, 283,550.63 and 114,830.87

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Solution

The fourth proportional to 205,473.51, 283,550.63 and 114,830.87 is: 158,465.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,473.51 : 283,550.63 = 114,830.87 : x
  2. Step 2: Convert to fraction form
    205,473.51/283,550.63 = 114,830.87/x
  3. Step 3: Cross multiply
    205,473.51x = 283,550.63 × 114,830.87
  4. Step 4: Simplify right side
    205,473.51x = 32,560,363,540.04
  5. Step 5: Solve for x
    x = 32,560,363,540.04/205,473.51
  6. Step 6: Final answer
    x = 158,465.02

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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.