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Finding the Fourth Proportional to 265,108, 365,851.92 and 145,876

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Solution

The fourth proportional to 265,108, 365,851.92 and 145,876 is: 201,310.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,108 : 365,851.92 = 145,876 : x
  2. Step 2: Convert to fraction form
    265,108/365,851.92 = 145,876/x
  3. Step 3: Cross multiply
    265,108x = 365,851.92 × 145,876
  4. Step 4: Simplify right side
    265,108x = 53,369,014,681.92
  5. Step 5: Solve for x
    x = 53,369,014,681.92/265,108
  6. Step 6: Final answer
    x = 201,310.46

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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.