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Finding the Fourth Proportional to 280,939.50, 421,409.66 and 114,727.50

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Solution

The fourth proportional to 280,939.50, 421,409.66 and 114,727.50 is: 172,091.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,939.50 : 421,409.66 = 114,727.50 : x
  2. Step 2: Convert to fraction form
    280,939.50/421,409.66 = 114,727.50/x
  3. Step 3: Cross multiply
    280,939.50x = 421,409.66 × 114,727.50
  4. Step 4: Simplify right side
    280,939.50x = 48,347,276,194.01
  5. Step 5: Solve for x
    x = 48,347,276,194.01/280,939.50
  6. Step 6: Final answer
    x = 172,091.42

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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.