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Finding the Fourth Proportional to 190,047.89, 262,267.94 and 105,164.75

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Solution

The fourth proportional to 190,047.89, 262,267.94 and 105,164.75 is: 145,128.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,047.89 : 262,267.94 = 105,164.75 : x
  2. Step 2: Convert to fraction form
    190,047.89/262,267.94 = 105,164.75/x
  3. Step 3: Cross multiply
    190,047.89x = 262,267.94 × 105,164.75
  4. Step 4: Simplify right side
    190,047.89x = 27,581,342,343.12
  5. Step 5: Solve for x
    x = 27,581,342,343.12/190,047.89
  6. Step 6: Final answer
    x = 145,128.38

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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.