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Finding the Fourth Proportional to 197,144.29, 295,859 and 78,848.65

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Solution

The fourth proportional to 197,144.29, 295,859 and 78,848.65 is: 118,329.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,144.29 : 295,859 = 78,848.65 : x
  2. Step 2: Convert to fraction form
    197,144.29/295,859 = 78,848.65/x
  3. Step 3: Cross multiply
    197,144.29x = 295,859 × 78,848.65
  4. Step 4: Simplify right side
    197,144.29x = 23,328,082,740.35
  5. Step 5: Solve for x
    x = 23,328,082,740.35/197,144.29
  6. Step 6: Final answer
    x = 118,329.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.