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Finding the Fourth Proportional to 190,876.81, 263,410.47 and 105,993.87

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Solution

The fourth proportional to 190,876.81, 263,410.47 and 105,993.87 is: 146,271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,876.81 : 263,410.47 = 105,993.87 : x
  2. Step 2: Convert to fraction form
    190,876.81/263,410.47 = 105,993.87/x
  3. Step 3: Cross multiply
    190,876.81x = 263,410.47 × 105,993.87
  4. Step 4: Simplify right side
    190,876.81x = 27,919,895,113.82
  5. Step 5: Solve for x
    x = 27,919,895,113.82/190,876.81
  6. Step 6: Final answer
    x = 146,271.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.