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Finding the Fourth Proportional to 190,188, 262,395.86 and 109,614.06

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Solution

The fourth proportional to 190,188, 262,395.86 and 109,614.06 is: 151,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,188 : 262,395.86 = 109,614.06 : x
  2. Step 2: Convert to fraction form
    190,188/262,395.86 = 109,614.06/x
  3. Step 3: Cross multiply
    190,188x = 262,395.86 × 109,614.06
  4. Step 4: Simplify right side
    190,188x = 28,762,274,993.72
  5. Step 5: Solve for x
    x = 28,762,274,993.72/190,188
  6. Step 6: Final answer
    x = 151,230.76

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Why These Related Problems?

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