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Finding the Fourth Proportional to 205,425.36, 283,458.81 and 114,770.07

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Solution

The fourth proportional to 205,425.36, 283,458.81 and 114,770.07 is: 158,366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,425.36 : 283,458.81 = 114,770.07 : x
  2. Step 2: Convert to fraction form
    205,425.36/283,458.81 = 114,770.07/x
  3. Step 3: Cross multiply
    205,425.36x = 283,458.81 × 114,770.07
  4. Step 4: Simplify right side
    205,425.36x = 32,532,587,465.82
  5. Step 5: Solve for x
    x = 32,532,587,465.82/205,425.36
  6. Step 6: Final answer
    x = 158,366.95

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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.