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Finding the Fourth Proportional to 149,041.06, 205,536.06 and 97,963.54

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Solution

The fourth proportional to 149,041.06, 205,536.06 and 97,963.54 is: 135,097.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,041.06 : 205,536.06 = 97,963.54 : x
  2. Step 2: Convert to fraction form
    149,041.06/205,536.06 = 97,963.54/x
  3. Step 3: Cross multiply
    149,041.06x = 205,536.06 × 97,963.54
  4. Step 4: Simplify right side
    149,041.06x = 20,135,040,035.25
  5. Step 5: Solve for x
    x = 20,135,040,035.25/149,041.06
  6. Step 6: Final answer
    x = 135,097.27

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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.