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Finding the Fourth Proportional to 189,344.90, 284,018.97 and 89,507.54

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Solution

The fourth proportional to 189,344.90, 284,018.97 and 89,507.54 is: 134,262.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,344.90 : 284,018.97 = 89,507.54 : x
  2. Step 2: Convert to fraction form
    189,344.90/284,018.97 = 89,507.54/x
  3. Step 3: Cross multiply
    189,344.90x = 284,018.97 × 89,507.54
  4. Step 4: Simplify right side
    189,344.90x = 25,421,839,318.03
  5. Step 5: Solve for x
    x = 25,421,839,318.03/189,344.90
  6. Step 6: Final answer
    x = 134,262.08

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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.