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Finding the Fourth Proportional to 273,292.50, 376,985.77 and 164,321.14

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Solution

The fourth proportional to 273,292.50, 376,985.77 and 164,321.14 is: 226,668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,292.50 : 376,985.77 = 164,321.14 : x
  2. Step 2: Convert to fraction form
    273,292.50/376,985.77 = 164,321.14/x
  3. Step 3: Cross multiply
    273,292.50x = 376,985.77 × 164,321.14
  4. Step 4: Simplify right side
    273,292.50x = 61,946,732,169.94
  5. Step 5: Solve for x
    x = 61,946,732,169.94/273,292.50
  6. Step 6: Final answer
    x = 226,668.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.