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Finding the Fourth Proportional to 190,710.16, 286,000.44 and 66,022

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Solution

The fourth proportional to 190,710.16, 286,000.44 and 66,022 is: 99,010.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,710.16 : 286,000.44 = 66,022 : x
  2. Step 2: Convert to fraction form
    190,710.16/286,000.44 = 66,022/x
  3. Step 3: Cross multiply
    190,710.16x = 286,000.44 × 66,022
  4. Step 4: Simplify right side
    190,710.16x = 18,882,321,049.68
  5. Step 5: Solve for x
    x = 18,882,321,049.68/190,710.16
  6. Step 6: Final answer
    x = 99,010.57

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Why These Related Problems?

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