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Finding the Fourth Proportional to 292,556.30, 403,733.04 and 165,208.10

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Solution

The fourth proportional to 292,556.30, 403,733.04 and 165,208.10 is: 227,990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,556.30 : 403,733.04 = 165,208.10 : x
  2. Step 2: Convert to fraction form
    292,556.30/403,733.04 = 165,208.10/x
  3. Step 3: Cross multiply
    292,556.30x = 403,733.04 × 165,208.10
  4. Step 4: Simplify right side
    292,556.30x = 66,699,968,445.62
  5. Step 5: Solve for x
    x = 66,699,968,445.62/292,556.30
  6. Step 6: Final answer
    x = 227,990.20

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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.