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Finding the Fourth Proportional to 164,057, 246,109.26 and 51,699.20

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Solution

The fourth proportional to 164,057, 246,109.26 and 51,699.20 is: 77,556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,057 : 246,109.26 = 51,699.20 : x
  2. Step 2: Convert to fraction form
    164,057/246,109.26 = 51,699.20/x
  3. Step 3: Cross multiply
    164,057x = 246,109.26 × 51,699.20
  4. Step 4: Simplify right side
    164,057x = 12,723,651,854.59
  5. Step 5: Solve for x
    x = 12,723,651,854.59/164,057
  6. Step 6: Final answer
    x = 77,556.29

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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.