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Finding the Fourth Proportional to 97,610.20, 146,463.90 and 55,522.60

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Solution

The fourth proportional to 97,610.20, 146,463.90 and 55,522.60 is: 83,311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,610.20 : 146,463.90 = 55,522.60 : x
  2. Step 2: Convert to fraction form
    97,610.20/146,463.90 = 55,522.60/x
  3. Step 3: Cross multiply
    97,610.20x = 146,463.90 × 55,522.60
  4. Step 4: Simplify right side
    97,610.20x = 8,132,056,534.14
  5. Step 5: Solve for x
    x = 8,132,056,534.14/97,610.20
  6. Step 6: Final answer
    x = 83,311.54

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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.