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Finding the Fourth Proportional to 189,952.32, 284,845.36 and 90,141.12

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Solution

The fourth proportional to 189,952.32, 284,845.36 and 90,141.12 is: 135,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,952.32 : 284,845.36 = 90,141.12 : x
  2. Step 2: Convert to fraction form
    189,952.32/284,845.36 = 90,141.12/x
  3. Step 3: Cross multiply
    189,952.32x = 284,845.36 × 90,141.12
  4. Step 4: Simplify right side
    189,952.32x = 25,676,279,777.20
  5. Step 5: Solve for x
    x = 25,676,279,777.20/189,952.32
  6. Step 6: Final answer
    x = 135,172.24

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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.