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Finding the Fourth Proportional to 230,197.14, 317,688 and 139,556.88

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Solution

The fourth proportional to 230,197.14, 317,688 and 139,556.88 is: 192,598.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,197.14 : 317,688 = 139,556.88 : x
  2. Step 2: Convert to fraction form
    230,197.14/317,688 = 139,556.88/x
  3. Step 3: Cross multiply
    230,197.14x = 317,688 × 139,556.88
  4. Step 4: Simplify right side
    230,197.14x = 44,335,546,093.44
  5. Step 5: Solve for x
    x = 44,335,546,093.44/230,197.14
  6. Step 6: Final answer
    x = 192,598.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.