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Finding the Fourth Proportional to 267,381.90, 368,981.10 and 146,520.54

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Solution

The fourth proportional to 267,381.90, 368,981.10 and 146,520.54 is: 202,195.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,381.90 : 368,981.10 = 146,520.54 : x
  2. Step 2: Convert to fraction form
    267,381.90/368,981.10 = 146,520.54/x
  3. Step 3: Cross multiply
    267,381.90x = 368,981.10 × 146,520.54
  4. Step 4: Simplify right side
    267,381.90x = 54,063,310,021.79
  5. Step 5: Solve for x
    x = 54,063,310,021.79/267,381.90
  6. Step 6: Final answer
    x = 202,195.10

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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.