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Finding the Fourth Proportional to 265,419, 366,278.22 and 146,187

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Solution

The fourth proportional to 265,419, 366,278.22 and 146,187 is: 201,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,419 : 366,278.22 = 146,187 : x
  2. Step 2: Convert to fraction form
    265,419/366,278.22 = 146,187/x
  3. Step 3: Cross multiply
    265,419x = 366,278.22 × 146,187
  4. Step 4: Simplify right side
    265,419x = 53,545,114,147.14
  5. Step 5: Solve for x
    x = 53,545,114,147.14/265,419
  6. Step 6: Final answer
    x = 201,738.06

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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.