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Finding the Fourth Proportional to 262,202.96, 361,871.16 and 149,042.72

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Solution

The fourth proportional to 262,202.96, 361,871.16 and 149,042.72 is: 205,696.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,202.96 : 361,871.16 = 149,042.72 : x
  2. Step 2: Convert to fraction form
    262,202.96/361,871.16 = 149,042.72/x
  3. Step 3: Cross multiply
    262,202.96x = 361,871.16 × 149,042.72
  4. Step 4: Simplify right side
    262,202.96x = 53,934,261,975.96
  5. Step 5: Solve for x
    x = 53,934,261,975.96/262,202.96
  6. Step 6: Final answer
    x = 205,696.62

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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.