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Finding the Fourth Proportional to 275,127.49, 412,783.55 and 106,653.31

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Solution

The fourth proportional to 275,127.49, 412,783.55 and 106,653.31 is: 160,015.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,127.49 : 412,783.55 = 106,653.31 : x
  2. Step 2: Convert to fraction form
    275,127.49/412,783.55 = 106,653.31/x
  3. Step 3: Cross multiply
    275,127.49x = 412,783.55 × 106,653.31
  4. Step 4: Simplify right side
    275,127.49x = 44,024,730,830.77
  5. Step 5: Solve for x
    x = 44,024,730,830.77/275,127.49
  6. Step 6: Final answer
    x = 160,015.75

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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.