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Finding the Fourth Proportional to 241,696.80, 362,545.20 and 206,704.80

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Solution

The fourth proportional to 241,696.80, 362,545.20 and 206,704.80 is: 310,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,696.80 : 362,545.20 = 206,704.80 : x
  2. Step 2: Convert to fraction form
    241,696.80/362,545.20 = 206,704.80/x
  3. Step 3: Cross multiply
    241,696.80x = 362,545.20 × 206,704.80
  4. Step 4: Simplify right side
    241,696.80x = 74,939,833,056.96
  5. Step 5: Solve for x
    x = 74,939,833,056.96/241,696.80
  6. Step 6: Final answer
    x = 310,057.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.