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Finding the Fourth Proportional to 97,455.60, 146,183.40 and 81,709.20

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Solution

The fourth proportional to 97,455.60, 146,183.40 and 81,709.20 is: 122,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,455.60 : 146,183.40 = 81,709.20 : x
  2. Step 2: Convert to fraction form
    97,455.60/146,183.40 = 81,709.20/x
  3. Step 3: Cross multiply
    97,455.60x = 146,183.40 × 81,709.20
  4. Step 4: Simplify right side
    97,455.60x = 11,944,528,667.28
  5. Step 5: Solve for x
    x = 11,944,528,667.28/97,455.60
  6. Step 6: Final answer
    x = 122,563.80

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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.