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Finding the Fourth Proportional to 106,684, 159,995.76 and 44,277.28

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Solution

The fourth proportional to 106,684, 159,995.76 and 44,277.28 is: 66,403.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,684 : 159,995.76 = 44,277.28 : x
  2. Step 2: Convert to fraction form
    106,684/159,995.76 = 44,277.28/x
  3. Step 3: Cross multiply
    106,684x = 159,995.76 × 44,277.28
  4. Step 4: Simplify right side
    106,684x = 7,084,177,064.33
  5. Step 5: Solve for x
    x = 7,084,177,064.33/106,684
  6. Step 6: Final answer
    x = 66,403.37

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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.