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Finding the Fourth Proportional to 289,292.29, 434,007.71 and 120,718.84

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Solution

The fourth proportional to 289,292.29, 434,007.71 and 120,718.84 is: 181,107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,292.29 : 434,007.71 = 120,718.84 : x
  2. Step 2: Convert to fraction form
    289,292.29/434,007.71 = 120,718.84/x
  3. Step 3: Cross multiply
    289,292.29x = 434,007.71 × 120,718.84
  4. Step 4: Simplify right side
    289,292.29x = 52,392,906,519.03
  5. Step 5: Solve for x
    x = 52,392,906,519.03/289,292.29
  6. Step 6: Final answer
    x = 181,107.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.