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Finding the Fourth Proportional to 164,389.50, 246,584.25 and 53,581.50

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Solution

The fourth proportional to 164,389.50, 246,584.25 and 53,581.50 is: 80,372.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,389.50 : 246,584.25 = 53,581.50 : x
  2. Step 2: Convert to fraction form
    164,389.50/246,584.25 = 53,581.50/x
  3. Step 3: Cross multiply
    164,389.50x = 246,584.25 × 53,581.50
  4. Step 4: Simplify right side
    164,389.50x = 13,212,353,991.38
  5. Step 5: Solve for x
    x = 13,212,353,991.38/164,389.50
  6. Step 6: Final answer
    x = 80,372.25

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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.