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Finding the Fourth Proportional to 106,810.79, 160,251.26 and 43,684.01

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Solution

The fourth proportional to 106,810.79, 160,251.26 and 43,684.01 is: 65,540.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,810.79 : 160,251.26 = 43,684.01 : x
  2. Step 2: Convert to fraction form
    106,810.79/160,251.26 = 43,684.01/x
  3. Step 3: Cross multiply
    106,810.79x = 160,251.26 × 43,684.01
  4. Step 4: Simplify right side
    106,810.79x = 7,000,416,624.68
  5. Step 5: Solve for x
    x = 7,000,416,624.68/106,810.79
  6. Step 6: Final answer
    x = 65,540.35

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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.