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Finding the Fourth Proportional to 262,537.50, 393,833.62 and 100,431.23

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Solution

The fourth proportional to 262,537.50, 393,833.62 and 100,431.23 is: 150,657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,537.50 : 393,833.62 = 100,431.23 : x
  2. Step 2: Convert to fraction form
    262,537.50/393,833.62 = 100,431.23/x
  3. Step 3: Cross multiply
    262,537.50x = 393,833.62 × 100,431.23
  4. Step 4: Simplify right side
    262,537.50x = 39,553,196,351.29
  5. Step 5: Solve for x
    x = 39,553,196,351.29/262,537.50
  6. Step 6: Final answer
    x = 150,657.32

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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.