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Finding the Fourth Proportional to 280,050.26, 419,937.15 and 122,210.42

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Solution

The fourth proportional to 280,050.26, 419,937.15 and 122,210.42 is: 183,255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,050.26 : 419,937.15 = 122,210.42 : x
  2. Step 2: Convert to fraction form
    280,050.26/419,937.15 = 122,210.42/x
  3. Step 3: Cross multiply
    280,050.26x = 419,937.15 × 122,210.42
  4. Step 4: Simplify right side
    280,050.26x = 51,320,695,475.10
  5. Step 5: Solve for x
    x = 51,320,695,475.10/280,050.26
  6. Step 6: Final answer
    x = 183,255.30

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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.