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Finding the Fourth Proportional to 190,143.28, 262,399.80 and 105,261.76

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Solution

The fourth proportional to 190,143.28, 262,399.80 and 105,261.76 is: 145,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,143.28 : 262,399.80 = 105,261.76 : x
  2. Step 2: Convert to fraction form
    190,143.28/262,399.80 = 105,261.76/x
  3. Step 3: Cross multiply
    190,143.28x = 262,399.80 × 105,261.76
  4. Step 4: Simplify right side
    190,143.28x = 27,620,664,771.65
  5. Step 5: Solve for x
    x = 27,620,664,771.65/190,143.28
  6. Step 6: Final answer
    x = 145,262.38

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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.