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Finding the Fourth Proportional to 190,615.52, 263,050.68 and 105,734

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Solution

The fourth proportional to 190,615.52, 263,050.68 and 105,734 is: 145,913.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,615.52 : 263,050.68 = 105,734 : x
  2. Step 2: Convert to fraction form
    190,615.52/263,050.68 = 105,734/x
  3. Step 3: Cross multiply
    190,615.52x = 263,050.68 × 105,734
  4. Step 4: Simplify right side
    190,615.52x = 27,813,400,599.12
  5. Step 5: Solve for x
    x = 27,813,400,599.12/190,615.52
  6. Step 6: Final answer
    x = 145,913.62

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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.