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Finding the Fourth Proportional to 106,857.95, 160,227.68 and 43,722.36

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Solution

The fourth proportional to 106,857.95, 160,227.68 and 43,722.36 is: 65,559.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,857.95 : 160,227.68 = 43,722.36 : x
  2. Step 2: Convert to fraction form
    106,857.95/160,227.68 = 43,722.36/x
  3. Step 3: Cross multiply
    106,857.95x = 160,227.68 × 43,722.36
  4. Step 4: Simplify right side
    106,857.95x = 7,005,532,088.31
  5. Step 5: Solve for x
    x = 7,005,532,088.31/106,857.95
  6. Step 6: Final answer
    x = 65,559.30

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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.