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Finding the Fourth Proportional to 190,665.84, 263,118.96 and 105,783

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Solution

The fourth proportional to 190,665.84, 263,118.96 and 105,783 is: 145,980.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,665.84 : 263,118.96 = 105,783 : x
  2. Step 2: Convert to fraction form
    190,665.84/263,118.96 = 105,783/x
  3. Step 3: Cross multiply
    190,665.84x = 263,118.96 × 105,783
  4. Step 4: Simplify right side
    190,665.84x = 27,833,512,945.68
  5. Step 5: Solve for x
    x = 27,833,512,945.68/190,665.84
  6. Step 6: Final answer
    x = 145,980.60

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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.