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Finding the Fourth Proportional to 196,374.76, 270,997.16 and 106,950.76

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Solution

The fourth proportional to 196,374.76, 270,997.16 and 106,950.76 is: 147,592.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,374.76 : 270,997.16 = 106,950.76 : x
  2. Step 2: Convert to fraction form
    196,374.76/270,997.16 = 106,950.76/x
  3. Step 3: Cross multiply
    196,374.76x = 270,997.16 × 106,950.76
  4. Step 4: Simplify right side
    196,374.76x = 28,983,352,219.84
  5. Step 5: Solve for x
    x = 28,983,352,219.84/196,374.76
  6. Step 6: Final answer
    x = 147,592.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.