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Finding the Fourth Proportional to 109,912.30, 164,911.65 and 43,341.10

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Solution

The fourth proportional to 109,912.30, 164,911.65 and 43,341.10 is: 65,028.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,912.30 : 164,911.65 = 43,341.10 : x
  2. Step 2: Convert to fraction form
    109,912.30/164,911.65 = 43,341.10/x
  3. Step 3: Cross multiply
    109,912.30x = 164,911.65 × 43,341.10
  4. Step 4: Simplify right side
    109,912.30x = 7,147,452,313.82
  5. Step 5: Solve for x
    x = 7,147,452,313.82/109,912.30
  6. Step 6: Final answer
    x = 65,028.68

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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.