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Finding the Fourth Proportional to 189,435.40, 284,009.10 and 96,008.20

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Solution

The fourth proportional to 189,435.40, 284,009.10 and 96,008.20 is: 143,939.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,435.40 : 284,009.10 = 96,008.20 : x
  2. Step 2: Convert to fraction form
    189,435.40/284,009.10 = 96,008.20/x
  3. Step 3: Cross multiply
    189,435.40x = 284,009.10 × 96,008.20
  4. Step 4: Simplify right side
    189,435.40x = 27,267,202,474.62
  5. Step 5: Solve for x
    x = 27,267,202,474.62/189,435.40
  6. Step 6: Final answer
    x = 143,939.32

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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.