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Finding the Fourth Proportional to 149,358.05, 206,190.29 and 101,214.32

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Solution

The fourth proportional to 149,358.05, 206,190.29 and 101,214.32 is: 139,727.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,358.05 : 206,190.29 = 101,214.32 : x
  2. Step 2: Convert to fraction form
    149,358.05/206,190.29 = 101,214.32/x
  3. Step 3: Cross multiply
    149,358.05x = 206,190.29 × 101,214.32
  4. Step 4: Simplify right side
    149,358.05x = 20,869,409,486.88
  5. Step 5: Solve for x
    x = 20,869,409,486.88/149,358.05
  6. Step 6: Final answer
    x = 139,727.39

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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.