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Finding the Fourth Proportional to 190,536, 262,947 and 105,651.24

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Solution

The fourth proportional to 190,536, 262,947 and 105,651.24 is: 145,802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,536 : 262,947 = 105,651.24 : x
  2. Step 2: Convert to fraction form
    190,536/262,947 = 105,651.24/x
  3. Step 3: Cross multiply
    190,536x = 262,947 × 105,651.24
  4. Step 4: Simplify right side
    190,536x = 27,780,676,604.28
  5. Step 5: Solve for x
    x = 27,780,676,604.28/190,536
  6. Step 6: Final answer
    x = 145,802.77

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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.