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Finding the Fourth Proportional to 292,169.90, 403,194.87 and 164,857.34

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Solution

The fourth proportional to 292,169.90, 403,194.87 and 164,857.34 is: 227,503.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,169.90 : 403,194.87 = 164,857.34 : x
  2. Step 2: Convert to fraction form
    292,169.90/403,194.87 = 164,857.34/x
  3. Step 3: Cross multiply
    292,169.90x = 403,194.87 × 164,857.34
  4. Step 4: Simplify right side
    292,169.90x = 66,469,630,929.58
  5. Step 5: Solve for x
    x = 66,469,630,929.58/292,169.90
  6. Step 6: Final answer
    x = 227,503.35

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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.