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Finding the Fourth Proportional to 196,216.50, 270,778.77 and 106,792.50

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Solution

The fourth proportional to 196,216.50, 270,778.77 and 106,792.50 is: 147,373.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,216.50 : 270,778.77 = 106,792.50 : x
  2. Step 2: Convert to fraction form
    196,216.50/270,778.77 = 106,792.50/x
  3. Step 3: Cross multiply
    196,216.50x = 270,778.77 × 106,792.50
  4. Step 4: Simplify right side
    196,216.50x = 28,917,141,795.23
  5. Step 5: Solve for x
    x = 28,917,141,795.23/196,216.50
  6. Step 6: Final answer
    x = 147,373.65

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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.