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Finding the Fourth Proportional to 289,282.84, 433,993.05 and 120,709.49

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Solution

The fourth proportional to 289,282.84, 433,993.05 and 120,709.49 is: 181,092.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,282.84 : 433,993.05 = 120,709.49 : x
  2. Step 2: Convert to fraction form
    289,282.84/433,993.05 = 120,709.49/x
  3. Step 3: Cross multiply
    289,282.84x = 433,993.05 × 120,709.49
  4. Step 4: Simplify right side
    289,282.84x = 52,387,077,559.08
  5. Step 5: Solve for x
    x = 52,387,077,559.08/289,282.84
  6. Step 6: Final answer
    x = 181,092.93

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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.