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Finding the Fourth Proportional to 174,912, 262,412.28 and 50,253

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Solution

The fourth proportional to 174,912, 262,412.28 and 50,253 is: 75,392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,912 : 262,412.28 = 50,253 : x
  2. Step 2: Convert to fraction form
    174,912/262,412.28 = 50,253/x
  3. Step 3: Cross multiply
    174,912x = 262,412.28 × 50,253
  4. Step 4: Simplify right side
    174,912x = 13,187,004,306.84
  5. Step 5: Solve for x
    x = 13,187,004,306.84/174,912
  6. Step 6: Final answer
    x = 75,392.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.