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Finding the Fourth Proportional to 97,709.80, 146,273.10 and 91,942.60

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Solution

The fourth proportional to 97,709.80, 146,273.10 and 91,942.60 is: 137,639.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,709.80 : 146,273.10 = 91,942.60 : x
  2. Step 2: Convert to fraction form
    97,709.80/146,273.10 = 91,942.60/x
  3. Step 3: Cross multiply
    97,709.80x = 146,273.10 × 91,942.60
  4. Step 4: Simplify right side
    97,709.80x = 13,448,729,124.06
  5. Step 5: Solve for x
    x = 13,448,729,124.06/97,709.80
  6. Step 6: Final answer
    x = 137,639.51

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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.