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Finding the Fourth Proportional to 275,562, 413,369.12 and 107,095.31

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Solution

The fourth proportional to 275,562, 413,369.12 and 107,095.31 is: 160,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,562 : 413,369.12 = 107,095.31 : x
  2. Step 2: Convert to fraction form
    275,562/413,369.12 = 107,095.31/x
  3. Step 3: Cross multiply
    275,562x = 413,369.12 × 107,095.31
  4. Step 4: Simplify right side
    275,562x = 44,269,896,127.06
  5. Step 5: Solve for x
    x = 44,269,896,127.06/275,562
  6. Step 6: Final answer
    x = 160,653.12

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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.