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Finding the Fourth Proportional to 257,037.20, 385,440.60 and 116,723.60

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Solution

The fourth proportional to 257,037.20, 385,440.60 and 116,723.60 is: 175,033.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,037.20 : 385,440.60 = 116,723.60 : x
  2. Step 2: Convert to fraction form
    257,037.20/385,440.60 = 116,723.60/x
  3. Step 3: Cross multiply
    257,037.20x = 385,440.60 × 116,723.60
  4. Step 4: Simplify right side
    257,037.20x = 44,990,014,418.16
  5. Step 5: Solve for x
    x = 44,990,014,418.16/257,037.20
  6. Step 6: Final answer
    x = 175,033.09

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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.