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Finding the Fourth Proportional to 301,955.63, 416,704.03 and 165,995.30

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Solution

The fourth proportional to 301,955.63, 416,704.03 and 165,995.30 is: 229,076.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,955.63 : 416,704.03 = 165,995.30 : x
  2. Step 2: Convert to fraction form
    301,955.63/416,704.03 = 165,995.30/x
  3. Step 3: Cross multiply
    301,955.63x = 416,704.03 × 165,995.30
  4. Step 4: Simplify right side
    301,955.63x = 69,170,911,097.83
  5. Step 5: Solve for x
    x = 69,170,911,097.83/301,955.63
  6. Step 6: Final answer
    x = 229,076.41

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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.