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Finding the Fourth Proportional to 209,602.14, 289,201.77 and 118,937.58

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Solution

The fourth proportional to 209,602.14, 289,201.77 and 118,937.58 is: 164,105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,602.14 : 289,201.77 = 118,937.58 : x
  2. Step 2: Convert to fraction form
    209,602.14/289,201.77 = 118,937.58/x
  3. Step 3: Cross multiply
    209,602.14x = 289,201.77 × 118,937.58
  4. Step 4: Simplify right side
    209,602.14x = 34,396,958,655.52
  5. Step 5: Solve for x
    x = 34,396,958,655.52/209,602.14
  6. Step 6: Final answer
    x = 164,105.95

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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.