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Finding the Fourth Proportional to 197,214.40, 295,481.40 and 91,817.20

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Solution

The fourth proportional to 197,214.40, 295,481.40 and 91,817.20 is: 137,567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,214.40 : 295,481.40 = 91,817.20 : x
  2. Step 2: Convert to fraction form
    197,214.40/295,481.40 = 91,817.20/x
  3. Step 3: Cross multiply
    197,214.40x = 295,481.40 × 91,817.20
  4. Step 4: Simplify right side
    197,214.40x = 27,130,274,800.08
  5. Step 5: Solve for x
    x = 27,130,274,800.08/197,214.40
  6. Step 6: Final answer
    x = 137,567.41

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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.