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Finding the Fourth Proportional to 195,121, 269,267.06 and 105,697

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Solution

The fourth proportional to 195,121, 269,267.06 and 105,697 is: 145,861.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,121 : 269,267.06 = 105,697 : x
  2. Step 2: Convert to fraction form
    195,121/269,267.06 = 105,697/x
  3. Step 3: Cross multiply
    195,121x = 269,267.06 × 105,697
  4. Step 4: Simplify right side
    195,121x = 28,460,720,440.82
  5. Step 5: Solve for x
    x = 28,460,720,440.82/195,121
  6. Step 6: Final answer
    x = 145,861.90

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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.