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Finding the Fourth Proportional to 280,113.80, 420,224.70 and 120,187.40

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Solution

The fourth proportional to 280,113.80, 420,224.70 and 120,187.40 is: 180,304.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,113.80 : 420,224.70 = 120,187.40 : x
  2. Step 2: Convert to fraction form
    280,113.80/420,224.70 = 120,187.40/x
  3. Step 3: Cross multiply
    280,113.80x = 420,224.70 × 120,187.40
  4. Step 4: Simplify right side
    280,113.80x = 50,505,714,108.78
  5. Step 5: Solve for x
    x = 50,505,714,108.78/280,113.80
  6. Step 6: Final answer
    x = 180,304.27

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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.