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Finding the Fourth Proportional to 198,294.35, 297,410.74 and 65,173.71

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Solution

The fourth proportional to 198,294.35, 297,410.74 and 65,173.71 is: 97,750.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,294.35 : 297,410.74 = 65,173.71 : x
  2. Step 2: Convert to fraction form
    198,294.35/297,410.74 = 65,173.71/x
  3. Step 3: Cross multiply
    198,294.35x = 297,410.74 × 65,173.71
  4. Step 4: Simplify right side
    198,294.35x = 19,383,362,272.00
  5. Step 5: Solve for x
    x = 19,383,362,272.00/198,294.35
  6. Step 6: Final answer
    x = 97,750.45

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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.