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Finding the Fourth Proportional to 190,545, 263,025.90 and 142,936.80

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Solution

The fourth proportional to 190,545, 263,025.90 and 142,936.80 is: 197,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,545 : 263,025.90 = 142,936.80 : x
  2. Step 2: Convert to fraction form
    190,545/263,025.90 = 142,936.80/x
  3. Step 3: Cross multiply
    190,545x = 263,025.90 × 142,936.80
  4. Step 4: Simplify right side
    190,545x = 37,596,080,463.12
  5. Step 5: Solve for x
    x = 37,596,080,463.12/190,545
  6. Step 6: Final answer
    x = 197,308.14

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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.