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Finding the Fourth Proportional to 164,744, 247,118.16 and 53,936

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Solution

The fourth proportional to 164,744, 247,118.16 and 53,936 is: 80,904.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,744 : 247,118.16 = 53,936 : x
  2. Step 2: Convert to fraction form
    164,744/247,118.16 = 53,936/x
  3. Step 3: Cross multiply
    164,744x = 247,118.16 × 53,936
  4. Step 4: Simplify right side
    164,744x = 13,328,565,077.76
  5. Step 5: Solve for x
    x = 13,328,565,077.76/164,744
  6. Step 6: Final answer
    x = 80,904.71

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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.