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Finding the Fourth Proportional to 189,863.05, 284,794.85 and 77,543.29

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Solution

The fourth proportional to 189,863.05, 284,794.85 and 77,543.29 is: 116,315.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,863.05 : 284,794.85 = 77,543.29 : x
  2. Step 2: Convert to fraction form
    189,863.05/284,794.85 = 77,543.29/x
  3. Step 3: Cross multiply
    189,863.05x = 284,794.85 × 77,543.29
  4. Step 4: Simplify right side
    189,863.05x = 22,083,929,644.06
  5. Step 5: Solve for x
    x = 22,083,929,644.06/189,863.05
  6. Step 6: Final answer
    x = 116,315.05

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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.