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Finding the Fourth Proportional to 292,489.68, 403,613.64 and 165,147.60

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Solution

The fourth proportional to 292,489.68, 403,613.64 and 165,147.60 is: 227,891.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,489.68 : 403,613.64 = 165,147.60 : x
  2. Step 2: Convert to fraction form
    292,489.68/403,613.64 = 165,147.60/x
  3. Step 3: Cross multiply
    292,489.68x = 403,613.64 × 165,147.60
  4. Step 4: Simplify right side
    292,489.68x = 66,655,823,973.26
  5. Step 5: Solve for x
    x = 66,655,823,973.26/292,489.68
  6. Step 6: Final answer
    x = 227,891.20

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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.