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Finding the Fourth Proportional to 189,826.76, 284,632.30 and 77,375.26

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Solution

The fourth proportional to 189,826.76, 284,632.30 and 77,375.26 is: 116,018.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,826.76 : 284,632.30 = 77,375.26 : x
  2. Step 2: Convert to fraction form
    189,826.76/284,632.30 = 77,375.26/x
  3. Step 3: Cross multiply
    189,826.76x = 284,632.30 × 77,375.26
  4. Step 4: Simplify right side
    189,826.76x = 22,023,498,216.90
  5. Step 5: Solve for x
    x = 22,023,498,216.90/189,826.76
  6. Step 6: Final answer
    x = 116,018.93

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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.