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Finding the Fourth Proportional to 189,389.52, 284,211 and 78,581.52

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Solution

The fourth proportional to 189,389.52, 284,211 and 78,581.52 is: 117,924.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,389.52 : 284,211 = 78,581.52 : x
  2. Step 2: Convert to fraction form
    189,389.52/284,211 = 78,581.52/x
  3. Step 3: Cross multiply
    189,389.52x = 284,211 × 78,581.52
  4. Step 4: Simplify right side
    189,389.52x = 22,333,732,380.72
  5. Step 5: Solve for x
    x = 22,333,732,380.72/189,389.52
  6. Step 6: Final answer
    x = 117,924.86

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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.