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Finding the Fourth Proportional to 149,349, 206,100.76 and 81,365.83

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Solution

The fourth proportional to 149,349, 206,100.76 and 81,365.83 is: 112,284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,349 : 206,100.76 = 81,365.83 : x
  2. Step 2: Convert to fraction form
    149,349/206,100.76 = 81,365.83/x
  3. Step 3: Cross multiply
    149,349x = 206,100.76 × 81,365.83
  4. Step 4: Simplify right side
    149,349x = 16,769,559,401.03
  5. Step 5: Solve for x
    x = 16,769,559,401.03/149,349
  6. Step 6: Final answer
    x = 112,284.38

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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.