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Finding the Fourth Proportional to 197,138.40, 295,707.60 and 171,477.60

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Solution

The fourth proportional to 197,138.40, 295,707.60 and 171,477.60 is: 257,216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,138.40 : 295,707.60 = 171,477.60 : x
  2. Step 2: Convert to fraction form
    197,138.40/295,707.60 = 171,477.60/x
  3. Step 3: Cross multiply
    197,138.40x = 295,707.60 × 171,477.60
  4. Step 4: Simplify right side
    197,138.40x = 50,707,229,549.76
  5. Step 5: Solve for x
    x = 50,707,229,549.76/197,138.40
  6. Step 6: Final answer
    x = 257,216.40

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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.