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Finding the Fourth Proportional to 289,881.72, 433,993.14 and 196,219.80

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Solution

The fourth proportional to 289,881.72, 433,993.14 and 196,219.80 is: 293,768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,881.72 : 433,993.14 = 196,219.80 : x
  2. Step 2: Convert to fraction form
    289,881.72/433,993.14 = 196,219.80/x
  3. Step 3: Cross multiply
    289,881.72x = 433,993.14 × 196,219.80
  4. Step 4: Simplify right side
    289,881.72x = 85,158,047,132.17
  5. Step 5: Solve for x
    x = 85,158,047,132.17/289,881.72
  6. Step 6: Final answer
    x = 293,768.26

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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.