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Finding the Fourth Proportional to 199,576, 275,415.24 and 110,152

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Solution

The fourth proportional to 199,576, 275,415.24 and 110,152 is: 152,009.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,576 : 275,415.24 = 110,152 : x
  2. Step 2: Convert to fraction form
    199,576/275,415.24 = 110,152/x
  3. Step 3: Cross multiply
    199,576x = 275,415.24 × 110,152
  4. Step 4: Simplify right side
    199,576x = 30,337,539,516.48
  5. Step 5: Solve for x
    x = 30,337,539,516.48/199,576
  6. Step 6: Final answer
    x = 152,009.96

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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.