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Finding the Fourth Proportional to 307,052.26, 423,823.37 and 193,950.34

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Solution

The fourth proportional to 307,052.26, 423,823.37 and 193,950.34 is: 267,709.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,052.26 : 423,823.37 = 193,950.34 : x
  2. Step 2: Convert to fraction form
    307,052.26/423,823.37 = 193,950.34/x
  3. Step 3: Cross multiply
    307,052.26x = 423,823.37 × 193,950.34
  4. Step 4: Simplify right side
    307,052.26x = 82,200,684,682.14
  5. Step 5: Solve for x
    x = 82,200,684,682.14/307,052.26
  6. Step 6: Final answer
    x = 267,709.10

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Why These Related Problems?

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