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Finding the Fourth Proportional to 190,842.44, 286,434.54 and 140,305.16

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Solution

The fourth proportional to 190,842.44, 286,434.54 and 140,305.16 is: 210,583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,842.44 : 286,434.54 = 140,305.16 : x
  2. Step 2: Convert to fraction form
    190,842.44/286,434.54 = 140,305.16/x
  3. Step 3: Cross multiply
    190,842.44x = 286,434.54 × 140,305.16
  4. Step 4: Simplify right side
    190,842.44x = 40,188,243,964.23
  5. Step 5: Solve for x
    x = 40,188,243,964.23/190,842.44
  6. Step 6: Final answer
    x = 210,583.37

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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.