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Finding the Fourth Proportional to 301,940.94, 416,687.94 and 165,985.38

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Solution

The fourth proportional to 301,940.94, 416,687.94 and 165,985.38 is: 229,065.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,940.94 : 416,687.94 = 165,985.38 : x
  2. Step 2: Convert to fraction form
    301,940.94/416,687.94 = 165,985.38/x
  3. Step 3: Cross multiply
    301,940.94x = 416,687.94 × 165,985.38
  4. Step 4: Simplify right side
    301,940.94x = 69,164,106,062.32
  5. Step 5: Solve for x
    x = 69,164,106,062.32/301,940.94
  6. Step 6: Final answer
    x = 229,065.02

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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.