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Finding the Fourth Proportional to 202,109.73, 278,908.16 and 116,070.52

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Solution

The fourth proportional to 202,109.73, 278,908.16 and 116,070.52 is: 160,175.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,109.73 : 278,908.16 = 116,070.52 : x
  2. Step 2: Convert to fraction form
    202,109.73/278,908.16 = 116,070.52/x
  3. Step 3: Cross multiply
    202,109.73x = 278,908.16 × 116,070.52
  4. Step 4: Simplify right side
    202,109.73x = 32,373,014,583.09
  5. Step 5: Solve for x
    x = 32,373,014,583.09/202,109.73
  6. Step 6: Final answer
    x = 160,175.44

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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.