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Finding the Fourth Proportional to 280,109.63, 420,106.81 and 80,385.50

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Solution

The fourth proportional to 280,109.63, 420,106.81 and 80,385.50 is: 120,561.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,109.63 : 420,106.81 = 80,385.50 : x
  2. Step 2: Convert to fraction form
    280,109.63/420,106.81 = 80,385.50/x
  3. Step 3: Cross multiply
    280,109.63x = 420,106.81 × 80,385.50
  4. Step 4: Simplify right side
    280,109.63x = 33,770,495,573.33
  5. Step 5: Solve for x
    x = 33,770,495,573.33/280,109.63
  6. Step 6: Final answer
    x = 120,561.71

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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.