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Finding the Fourth Proportional to 289,291.49, 434,006.52 and 120,718.05

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Solution

The fourth proportional to 289,291.49, 434,006.52 and 120,718.05 is: 181,105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,291.49 : 434,006.52 = 120,718.05 : x
  2. Step 2: Convert to fraction form
    289,291.49/434,006.52 = 120,718.05/x
  3. Step 3: Cross multiply
    289,291.49x = 434,006.52 × 120,718.05
  4. Step 4: Simplify right side
    289,291.49x = 52,392,420,781.69
  5. Step 5: Solve for x
    x = 52,392,420,781.69/289,291.49
  6. Step 6: Final answer
    x = 181,105.99

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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.