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Finding the Fourth Proportional to 190,305.38, 262,617.81 and 105,423.14

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Solution

The fourth proportional to 190,305.38, 262,617.81 and 105,423.14 is: 145,481.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,305.38 : 262,617.81 = 105,423.14 : x
  2. Step 2: Convert to fraction form
    190,305.38/262,617.81 = 105,423.14/x
  3. Step 3: Cross multiply
    190,305.38x = 262,617.81 × 105,423.14
  4. Step 4: Simplify right side
    190,305.38x = 27,685,994,150.12
  5. Step 5: Solve for x
    x = 27,685,994,150.12/190,305.38
  6. Step 6: Final answer
    x = 145,481.93

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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.