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Finding the Fourth Proportional to 301,903.80, 416,637.22 and 165,942.60

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Solution

The fourth proportional to 301,903.80, 416,637.22 and 165,942.60 is: 229,006.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,903.80 : 416,637.22 = 165,942.60 : x
  2. Step 2: Convert to fraction form
    301,903.80/416,637.22 = 165,942.60/x
  3. Step 3: Cross multiply
    301,903.80x = 416,637.22 × 165,942.60
  4. Step 4: Simplify right side
    301,903.80x = 69,137,863,543.57
  5. Step 5: Solve for x
    x = 69,137,863,543.57/301,903.80
  6. Step 6: Final answer
    x = 229,006.27

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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.