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Finding the Fourth Proportional to 164,441, 246,661.50 and 53,633

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Solution

The fourth proportional to 164,441, 246,661.50 and 53,633 is: 80,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,441 : 246,661.50 = 53,633 : x
  2. Step 2: Convert to fraction form
    164,441/246,661.50 = 53,633/x
  3. Step 3: Cross multiply
    164,441x = 246,661.50 × 53,633
  4. Step 4: Simplify right side
    164,441x = 13,229,196,229.50
  5. Step 5: Solve for x
    x = 13,229,196,229.50/164,441
  6. Step 6: Final answer
    x = 80,449.50

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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.