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Finding the Fourth Proportional to 98,904.70, 148,183.17 and 83,213.11

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Solution

The fourth proportional to 98,904.70, 148,183.17 and 83,213.11 is: 124,673.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,904.70 : 148,183.17 = 83,213.11 : x
  2. Step 2: Convert to fraction form
    98,904.70/148,183.17 = 83,213.11/x
  3. Step 3: Cross multiply
    98,904.70x = 148,183.17 × 83,213.11
  4. Step 4: Simplify right side
    98,904.70x = 12,330,782,425.36
  5. Step 5: Solve for x
    x = 12,330,782,425.36/98,904.70
  6. Step 6: Final answer
    x = 124,673.37

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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.