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Finding the Fourth Proportional to 265,874.67, 366,911.42 and 145,015.96

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Solution

The fourth proportional to 265,874.67, 366,911.42 and 145,015.96 is: 200,124.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,874.67 : 366,911.42 = 145,015.96 : x
  2. Step 2: Convert to fraction form
    265,874.67/366,911.42 = 145,015.96/x
  3. Step 3: Cross multiply
    265,874.67x = 366,911.42 × 145,015.96
  4. Step 4: Simplify right side
    265,874.67x = 53,208,011,806.26
  5. Step 5: Solve for x
    x = 53,208,011,806.26/265,874.67
  6. Step 6: Final answer
    x = 200,124.41

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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.