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Finding the Fourth Proportional to 190,459.20, 285,708.24 and 65,784

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Solution

The fourth proportional to 190,459.20, 285,708.24 and 65,784 is: 98,682.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,459.20 : 285,708.24 = 65,784 : x
  2. Step 2: Convert to fraction form
    190,459.20/285,708.24 = 65,784/x
  3. Step 3: Cross multiply
    190,459.20x = 285,708.24 × 65,784
  4. Step 4: Simplify right side
    190,459.20x = 18,795,030,860.16
  5. Step 5: Solve for x
    x = 18,795,030,860.16/190,459.20
  6. Step 6: Final answer
    x = 98,682.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.