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Finding the Fourth Proportional to 197,085.65, 295,647.87 and 52,989.68

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Solution

The fourth proportional to 197,085.65, 295,647.87 and 52,989.68 is: 79,489.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,085.65 : 295,647.87 = 52,989.68 : x
  2. Step 2: Convert to fraction form
    197,085.65/295,647.87 = 52,989.68/x
  3. Step 3: Cross multiply
    197,085.65x = 295,647.87 × 52,989.68
  4. Step 4: Simplify right side
    197,085.65x = 15,666,284,545.74
  5. Step 5: Solve for x
    x = 15,666,284,545.74/197,085.65
  6. Step 6: Final answer
    x = 79,489.73

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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.