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Finding the Fourth Proportional to 209,781.09, 289,533.00 and 123,761.42

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Solution

The fourth proportional to 209,781.09, 289,533.00 and 123,761.42 is: 170,811.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,781.09 : 289,533.00 = 123,761.42 : x
  2. Step 2: Convert to fraction form
    209,781.09/289,533.00 = 123,761.42/x
  3. Step 3: Cross multiply
    209,781.09x = 289,533.00 × 123,761.42
  4. Step 4: Simplify right side
    209,781.09x = 35,833,013,150.39
  5. Step 5: Solve for x
    x = 35,833,013,150.39/209,781.09
  6. Step 6: Final answer
    x = 170,811.46

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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.