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Finding the Fourth Proportional to 265,599, 366,526.62 and 146,367

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Solution

The fourth proportional to 265,599, 366,526.62 and 146,367 is: 201,986.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,599 : 366,526.62 = 146,367 : x
  2. Step 2: Convert to fraction form
    265,599/366,526.62 = 146,367/x
  3. Step 3: Cross multiply
    265,599x = 366,526.62 × 146,367
  4. Step 4: Simplify right side
    265,599x = 53,647,401,789.54
  5. Step 5: Solve for x
    x = 53,647,401,789.54/265,599
  6. Step 6: Final answer
    x = 201,986.46

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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.