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Finding the Fourth Proportional to 120,004.60, 179,618.10 and 106,007.80

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Solution

The fourth proportional to 120,004.60, 179,618.10 and 106,007.80 is: 158,668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,004.60 : 179,618.10 = 106,007.80 : x
  2. Step 2: Convert to fraction form
    120,004.60/179,618.10 = 106,007.80/x
  3. Step 3: Cross multiply
    120,004.60x = 179,618.10 × 106,007.80
  4. Step 4: Simplify right side
    120,004.60x = 19,040,919,621.18
  5. Step 5: Solve for x
    x = 19,040,919,621.18/120,004.60
  6. Step 6: Final answer
    x = 158,668.25

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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.