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Finding the Fourth Proportional to 106,806.25, 160,244.44 and 43,679.46

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Solution

The fourth proportional to 106,806.25, 160,244.44 and 43,679.46 is: 65,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,806.25 : 160,244.44 = 43,679.46 : x
  2. Step 2: Convert to fraction form
    106,806.25/160,244.44 = 43,679.46/x
  3. Step 3: Cross multiply
    106,806.25x = 160,244.44 × 43,679.46
  4. Step 4: Simplify right side
    106,806.25x = 6,999,390,607.20
  5. Step 5: Solve for x
    x = 6,999,390,607.20/106,806.25
  6. Step 6: Final answer
    x = 65,533.53

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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.