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Finding the Fourth Proportional to 106,762.20, 160,161.72 and 43,616.64

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Solution

The fourth proportional to 106,762.20, 160,161.72 and 43,616.64 is: 65,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,762.20 : 160,161.72 = 43,616.64 : x
  2. Step 2: Convert to fraction form
    106,762.20/160,161.72 = 43,616.64/x
  3. Step 3: Cross multiply
    106,762.20x = 160,161.72 × 43,616.64
  4. Step 4: Simplify right side
    106,762.20x = 6,985,716,083.02
  5. Step 5: Solve for x
    x = 6,985,716,083.02/106,762.20
  6. Step 6: Final answer
    x = 65,432.49

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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.