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Finding the Fourth Proportional to 257,025.60, 385,279.20 and 116,884.80

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Solution

The fourth proportional to 257,025.60, 385,279.20 and 116,884.80 is: 175,209.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,025.60 : 385,279.20 = 116,884.80 : x
  2. Step 2: Convert to fraction form
    257,025.60/385,279.20 = 116,884.80/x
  3. Step 3: Cross multiply
    257,025.60x = 385,279.20 × 116,884.80
  4. Step 4: Simplify right side
    257,025.60x = 45,033,282,236.16
  5. Step 5: Solve for x
    x = 45,033,282,236.16/257,025.60
  6. Step 6: Final answer
    x = 175,209.33

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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.