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Finding the Fourth Proportional to 174,904, 262,400.28 and 50,245

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Solution

The fourth proportional to 174,904, 262,400.28 and 50,245 is: 75,380.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,904 : 262,400.28 = 50,245 : x
  2. Step 2: Convert to fraction form
    174,904/262,400.28 = 50,245/x
  3. Step 3: Cross multiply
    174,904x = 262,400.28 × 50,245
  4. Step 4: Simplify right side
    174,904x = 13,184,302,068.60
  5. Step 5: Solve for x
    x = 13,184,302,068.60/174,904
  6. Step 6: Final answer
    x = 75,380.22

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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.