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Finding the Fourth Proportional to 301,941.94, 416,689.32 and 165,986.38

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Solution

The fourth proportional to 301,941.94, 416,689.32 and 165,986.38 is: 229,066.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,941.94 : 416,689.32 = 165,986.38 : x
  2. Step 2: Convert to fraction form
    301,941.94/416,689.32 = 165,986.38/x
  3. Step 3: Cross multiply
    301,941.94x = 416,689.32 × 165,986.38
  4. Step 4: Simplify right side
    301,941.94x = 69,164,751,811.46
  5. Step 5: Solve for x
    x = 69,164,751,811.46/301,941.94
  6. Step 6: Final answer
    x = 229,066.40

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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.