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Finding the Fourth Proportional to 106,700.49, 160,016.72 and 43,520.49

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Solution

The fourth proportional to 106,700.49, 160,016.72 and 43,520.49 is: 65,266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,700.49 : 160,016.72 = 43,520.49 : x
  2. Step 2: Convert to fraction form
    106,700.49/160,016.72 = 43,520.49/x
  3. Step 3: Cross multiply
    106,700.49x = 160,016.72 × 43,520.49
  4. Step 4: Simplify right side
    106,700.49x = 6,964,005,844.99
  5. Step 5: Solve for x
    x = 6,964,005,844.99/106,700.49
  6. Step 6: Final answer
    x = 65,266.86

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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.