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Finding the Fourth Proportional to 195,773, 270,166.74 and 106,349

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Solution

The fourth proportional to 195,773, 270,166.74 and 106,349 is: 146,761.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,773 : 270,166.74 = 106,349 : x
  2. Step 2: Convert to fraction form
    195,773/270,166.74 = 106,349/x
  3. Step 3: Cross multiply
    195,773x = 270,166.74 × 106,349
  4. Step 4: Simplify right side
    195,773x = 28,731,962,632.26
  5. Step 5: Solve for x
    x = 28,731,962,632.26/195,773
  6. Step 6: Final answer
    x = 146,761.62

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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.