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Finding the Fourth Proportional to 292,556.80, 403,733.73 and 165,208.60

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Solution

The fourth proportional to 292,556.80, 403,733.73 and 165,208.60 is: 227,990.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,556.80 : 403,733.73 = 165,208.60 : x
  2. Step 2: Convert to fraction form
    292,556.80/403,733.73 = 165,208.60/x
  3. Step 3: Cross multiply
    292,556.80x = 403,733.73 × 165,208.60
  4. Step 4: Simplify right side
    292,556.80x = 66,700,284,306.08
  5. Step 5: Solve for x
    x = 66,700,284,306.08/292,556.80
  6. Step 6: Final answer
    x = 227,990.89

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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.