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Finding the Fourth Proportional to 265,874.64, 366,911.37 and 145,015.93

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Solution

The fourth proportional to 265,874.64, 366,911.37 and 145,015.93 is: 200,124.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,874.64 : 366,911.37 = 145,015.93 : x
  2. Step 2: Convert to fraction form
    265,874.64/366,911.37 = 145,015.93/x
  3. Step 3: Cross multiply
    265,874.64x = 366,911.37 × 145,015.93
  4. Step 4: Simplify right side
    265,874.64x = 53,207,993,548.12
  5. Step 5: Solve for x
    x = 53,207,993,548.12/265,874.64
  6. Step 6: Final answer
    x = 200,124.37

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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.