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Finding the Fourth Proportional to 265,704, 366,653.16 and 149,434.88

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Solution

The fourth proportional to 265,704, 366,653.16 and 149,434.88 is: 206,209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,704 : 366,653.16 = 149,434.88 : x
  2. Step 2: Convert to fraction form
    265,704/366,653.16 = 149,434.88/x
  3. Step 3: Cross multiply
    265,704x = 366,653.16 × 149,434.88
  4. Step 4: Simplify right side
    265,704x = 54,790,770,966.22
  5. Step 5: Solve for x
    x = 54,790,770,966.22/265,704
  6. Step 6: Final answer
    x = 206,209.81

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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.