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Finding the Fourth Proportional to 265,606, 366,536.29 and 146,374

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Solution

The fourth proportional to 265,606, 366,536.29 and 146,374 is: 201,996.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,606 : 366,536.29 = 146,374 : x
  2. Step 2: Convert to fraction form
    265,606/366,536.29 = 146,374/x
  3. Step 3: Cross multiply
    265,606x = 366,536.29 × 146,374
  4. Step 4: Simplify right side
    265,606x = 53,651,382,546.53
  5. Step 5: Solve for x
    x = 53,651,382,546.53/265,606
  6. Step 6: Final answer
    x = 201,996.12

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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.