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Finding the Fourth Proportional to 227,022.16, 340,834.24 and 193,954.72

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Solution

The fourth proportional to 227,022.16, 340,834.24 and 193,954.72 is: 291,189.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,022.16 : 340,834.24 = 193,954.72 : x
  2. Step 2: Convert to fraction form
    227,022.16/340,834.24 = 193,954.72/x
  3. Step 3: Cross multiply
    227,022.16x = 340,834.24 × 193,954.72
  4. Step 4: Simplify right side
    227,022.16x = 66,106,409,585.61
  5. Step 5: Solve for x
    x = 66,106,409,585.61/227,022.16
  6. Step 6: Final answer
    x = 291,189.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.