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Finding the Fourth Proportional to 205,692.68, 283,852.14 and 116,268.68

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Solution

The fourth proportional to 205,692.68, 283,852.14 and 116,268.68 is: 160,448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,692.68 : 283,852.14 = 116,268.68 : x
  2. Step 2: Convert to fraction form
    205,692.68/283,852.14 = 116,268.68/x
  3. Step 3: Cross multiply
    205,692.68x = 283,852.14 × 116,268.68
  4. Step 4: Simplify right side
    205,692.68x = 33,003,113,632.98
  5. Step 5: Solve for x
    x = 33,003,113,632.98/205,692.68
  6. Step 6: Final answer
    x = 160,448.65

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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.