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Finding the Fourth Proportional to 106,817.69, 160,224.78 and 43,623.92

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Solution

The fourth proportional to 106,817.69, 160,224.78 and 43,623.92 is: 65,435.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,817.69 : 160,224.78 = 43,623.92 : x
  2. Step 2: Convert to fraction form
    106,817.69/160,224.78 = 43,623.92/x
  3. Step 3: Cross multiply
    106,817.69x = 160,224.78 × 43,623.92
  4. Step 4: Simplify right side
    106,817.69x = 6,989,632,984.74
  5. Step 5: Solve for x
    x = 6,989,632,984.74/106,817.69
  6. Step 6: Final answer
    x = 65,435.16

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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.