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Finding the Fourth Proportional to 209,727.51, 289,434.21 and 119,081.84

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Solution

The fourth proportional to 209,727.51, 289,434.21 and 119,081.84 is: 164,338.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,727.51 : 289,434.21 = 119,081.84 : x
  2. Step 2: Convert to fraction form
    209,727.51/289,434.21 = 119,081.84/x
  3. Step 3: Cross multiply
    209,727.51x = 289,434.21 × 119,081.84
  4. Step 4: Simplify right side
    209,727.51x = 34,466,356,838.58
  5. Step 5: Solve for x
    x = 34,466,356,838.58/209,727.51
  6. Step 6: Final answer
    x = 164,338.75

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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.