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Finding the Fourth Proportional to 190,572.60, 263,006.34 and 105,717

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Solution

The fourth proportional to 190,572.60, 263,006.34 and 105,717 is: 145,898.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,572.60 : 263,006.34 = 105,717 : x
  2. Step 2: Convert to fraction form
    190,572.60/263,006.34 = 105,717/x
  3. Step 3: Cross multiply
    190,572.60x = 263,006.34 × 105,717
  4. Step 4: Simplify right side
    190,572.60x = 27,804,241,245.78
  5. Step 5: Solve for x
    x = 27,804,241,245.78/190,572.60
  6. Step 6: Final answer
    x = 145,898.42

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