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Finding the Fourth Proportional to 97,475.60, 146,213.40 and 65,982.80

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Solution

The fourth proportional to 97,475.60, 146,213.40 and 65,982.80 is: 98,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,475.60 : 146,213.40 = 65,982.80 : x
  2. Step 2: Convert to fraction form
    97,475.60/146,213.40 = 65,982.80/x
  3. Step 3: Cross multiply
    97,475.60x = 146,213.40 × 65,982.80
  4. Step 4: Simplify right side
    97,475.60x = 9,647,569,529.52
  5. Step 5: Solve for x
    x = 9,647,569,529.52/97,475.60
  6. Step 6: Final answer
    x = 98,974.20

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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.