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Finding the Fourth Proportional to 193,638.51, 267,241.95 and 117,199.67

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Solution

The fourth proportional to 193,638.51, 267,241.95 and 117,199.67 is: 161,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,638.51 : 267,241.95 = 117,199.67 : x
  2. Step 2: Convert to fraction form
    193,638.51/267,241.95 = 117,199.67/x
  3. Step 3: Cross multiply
    193,638.51x = 267,241.95 × 117,199.67
  4. Step 4: Simplify right side
    193,638.51x = 31,320,667,013.95
  5. Step 5: Solve for x
    x = 31,320,667,013.95/193,638.51
  6. Step 6: Final answer
    x = 161,748.13

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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.