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Finding the Fourth Proportional to 97,359.80, 146,023.14 and 27,222.80

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Solution

The fourth proportional to 97,359.80, 146,023.14 and 27,222.80 is: 40,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,359.80 : 146,023.14 = 27,222.80 : x
  2. Step 2: Convert to fraction form
    97,359.80/146,023.14 = 27,222.80/x
  3. Step 3: Cross multiply
    97,359.80x = 146,023.14 × 27,222.80
  4. Step 4: Simplify right side
    97,359.80x = 3,975,158,735.59
  5. Step 5: Solve for x
    x = 3,975,158,735.59/97,359.80
  6. Step 6: Final answer
    x = 40,829.57

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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.