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Finding the Fourth Proportional to 280,658.72, 421,287.84 and 120,813.81

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Solution

The fourth proportional to 280,658.72, 421,287.84 and 120,813.81 is: 181,349.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,658.72 : 421,287.84 = 120,813.81 : x
  2. Step 2: Convert to fraction form
    280,658.72/421,287.84 = 120,813.81/x
  3. Step 3: Cross multiply
    280,658.72x = 421,287.84 × 120,813.81
  4. Step 4: Simplify right side
    280,658.72x = 50,897,389,057.07
  5. Step 5: Solve for x
    x = 50,897,389,057.07/280,658.72
  6. Step 6: Final answer
    x = 181,349.75

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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.