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Finding the Fourth Proportional to 189,861.30, 284,792.22 and 77,541.54

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Solution

The fourth proportional to 189,861.30, 284,792.22 and 77,541.54 is: 116,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,861.30 : 284,792.22 = 77,541.54 : x
  2. Step 2: Convert to fraction form
    189,861.30/284,792.22 = 77,541.54/x
  3. Step 3: Cross multiply
    189,861.30x = 284,792.22 × 77,541.54
  4. Step 4: Simplify right side
    189,861.30x = 22,083,226,250.85
  5. Step 5: Solve for x
    x = 22,083,226,250.85/189,861.30
  6. Step 6: Final answer
    x = 116,312.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.