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Finding the Fourth Proportional to 190,149.64, 262,324.10 and 114,656.20

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Solution

The fourth proportional to 190,149.64, 262,324.10 and 114,656.20 is: 158,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,149.64 : 262,324.10 = 114,656.20 : x
  2. Step 2: Convert to fraction form
    190,149.64/262,324.10 = 114,656.20/x
  3. Step 3: Cross multiply
    190,149.64x = 262,324.10 × 114,656.20
  4. Step 4: Simplify right side
    190,149.64x = 30,077,084,474.42
  5. Step 5: Solve for x
    x = 30,077,084,474.42/190,149.64
  6. Step 6: Final answer
    x = 158,175.87

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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.