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Finding the Fourth Proportional to 189,532.49, 284,366.42 and 81,416.43

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Solution

The fourth proportional to 189,532.49, 284,366.42 and 81,416.43 is: 122,153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,532.49 : 284,366.42 = 81,416.43 : x
  2. Step 2: Convert to fraction form
    189,532.49/284,366.42 = 81,416.43/x
  3. Step 3: Cross multiply
    189,532.49x = 284,366.42 × 81,416.43
  4. Step 4: Simplify right side
    189,532.49x = 23,152,098,728.28
  5. Step 5: Solve for x
    x = 23,152,098,728.28/189,532.49
  6. Step 6: Final answer
    x = 122,153.72

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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.