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Finding the Fourth Proportional to 198,467.70, 297,749.55 and 58,230.90

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Solution

The fourth proportional to 198,467.70, 297,749.55 and 58,230.90 is: 87,360.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,467.70 : 297,749.55 = 58,230.90 : x
  2. Step 2: Convert to fraction form
    198,467.70/297,749.55 = 58,230.90/x
  3. Step 3: Cross multiply
    198,467.70x = 297,749.55 × 58,230.90
  4. Step 4: Simplify right side
    198,467.70x = 17,338,224,271.10
  5. Step 5: Solve for x
    x = 17,338,224,271.10/198,467.70
  6. Step 6: Final answer
    x = 87,360.43

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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.