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Finding the Fourth Proportional to 106,559.30, 159,968.55 and 80,056.10

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Solution

The fourth proportional to 106,559.30, 159,968.55 and 80,056.10 is: 120,181.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,559.30 : 159,968.55 = 80,056.10 : x
  2. Step 2: Convert to fraction form
    106,559.30/159,968.55 = 80,056.10/x
  3. Step 3: Cross multiply
    106,559.30x = 159,968.55 × 80,056.10
  4. Step 4: Simplify right side
    106,559.30x = 12,806,458,235.66
  5. Step 5: Solve for x
    x = 12,806,458,235.66/106,559.30
  6. Step 6: Final answer
    x = 120,181.52

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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.