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Finding the Fourth Proportional to 267,806.33, 401,814.07 and 117,941.30

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Solution

The fourth proportional to 267,806.33, 401,814.07 and 117,941.30 is: 176,958.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,806.33 : 401,814.07 = 117,941.30 : x
  2. Step 2: Convert to fraction form
    267,806.33/401,814.07 = 117,941.30/x
  3. Step 3: Cross multiply
    267,806.33x = 401,814.07 × 117,941.30
  4. Step 4: Simplify right side
    267,806.33x = 47,390,472,976.97
  5. Step 5: Solve for x
    x = 47,390,472,976.97/267,806.33
  6. Step 6: Final answer
    x = 176,958.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.