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Finding the Fourth Proportional to 307,139.21, 460,774.43 and 107,466.11

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Solution

The fourth proportional to 307,139.21, 460,774.43 and 107,466.11 is: 161,222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,139.21 : 460,774.43 = 107,466.11 : x
  2. Step 2: Convert to fraction form
    307,139.21/460,774.43 = 107,466.11/x
  3. Step 3: Cross multiply
    307,139.21x = 460,774.43 × 107,466.11
  4. Step 4: Simplify right side
    307,139.21x = 49,517,632,738.36
  5. Step 5: Solve for x
    x = 49,517,632,738.36/307,139.21
  6. Step 6: Final answer
    x = 161,222.12

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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.