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Finding the Fourth Proportional to 280,589.64, 421,052.22 and 103,114.60

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Solution

The fourth proportional to 280,589.64, 421,052.22 and 103,114.60 is: 154,733.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,589.64 : 421,052.22 = 103,114.60 : x
  2. Step 2: Convert to fraction form
    280,589.64/421,052.22 = 103,114.60/x
  3. Step 3: Cross multiply
    280,589.64x = 421,052.22 × 103,114.60
  4. Step 4: Simplify right side
    280,589.64x = 43,416,631,244.41
  5. Step 5: Solve for x
    x = 43,416,631,244.41/280,589.64
  6. Step 6: Final answer
    x = 154,733.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.