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Finding the Fourth Proportional to 189,327.13, 284,006.32 and 136,266.06

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Solution

The fourth proportional to 189,327.13, 284,006.32 and 136,266.06 is: 204,410.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,327.13 : 284,006.32 = 136,266.06 : x
  2. Step 2: Convert to fraction form
    189,327.13/284,006.32 = 136,266.06/x
  3. Step 3: Cross multiply
    189,327.13x = 284,006.32 × 136,266.06
  4. Step 4: Simplify right side
    189,327.13x = 38,700,422,241.50
  5. Step 5: Solve for x
    x = 38,700,422,241.50/189,327.13
  6. Step 6: Final answer
    x = 204,410.34

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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.