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Finding the Fourth Proportional to 164,468, 246,741 and 53,660

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Solution

The fourth proportional to 164,468, 246,741 and 53,660 is: 80,502.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,468 : 246,741 = 53,660 : x
  2. Step 2: Convert to fraction form
    164,468/246,741 = 53,660/x
  3. Step 3: Cross multiply
    164,468x = 246,741 × 53,660
  4. Step 4: Simplify right side
    164,468x = 13,240,122,060
  5. Step 5: Solve for x
    x = 13,240,122,060/164,468
  6. Step 6: Final answer
    x = 80,502.72

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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.