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Finding the Fourth Proportional to 193,476, 267,013.65 and 107,451.57

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Solution

The fourth proportional to 193,476, 267,013.65 and 107,451.57 is: 148,292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,476 : 267,013.65 = 107,451.57 : x
  2. Step 2: Convert to fraction form
    193,476/267,013.65 = 107,451.57/x
  3. Step 3: Cross multiply
    193,476x = 267,013.65 × 107,451.57
  4. Step 4: Simplify right side
    193,476x = 28,691,035,903.93
  5. Step 5: Solve for x
    x = 28,691,035,903.93/193,476
  6. Step 6: Final answer
    x = 148,292.48

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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.