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Finding the Fourth Proportional to 301,909.43, 416,639.30 and 165,955.95

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Solution

The fourth proportional to 301,909.43, 416,639.30 and 165,955.95 is: 229,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,909.43 : 416,639.30 = 165,955.95 : x
  2. Step 2: Convert to fraction form
    301,909.43/416,639.30 = 165,955.95/x
  3. Step 3: Cross multiply
    301,909.43x = 416,639.30 × 165,955.95
  4. Step 4: Simplify right side
    301,909.43x = 69,143,770,009.06
  5. Step 5: Solve for x
    x = 69,143,770,009.06/301,909.43
  6. Step 6: Final answer
    x = 229,021.56

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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.