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Finding the Fourth Proportional to 177,704.16, 245,232.21 and 106,082.64

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Solution

The fourth proportional to 177,704.16, 245,232.21 and 106,082.64 is: 146,394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,704.16 : 245,232.21 = 106,082.64 : x
  2. Step 2: Convert to fraction form
    177,704.16/245,232.21 = 106,082.64/x
  3. Step 3: Cross multiply
    177,704.16x = 245,232.21 × 106,082.64
  4. Step 4: Simplify right side
    177,704.16x = 26,014,880,249.83
  5. Step 5: Solve for x
    x = 26,014,880,249.83/177,704.16
  6. Step 6: Final answer
    x = 146,394.32

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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.