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Finding the Fourth Proportional to 118,872.60, 178,049.70 and 105,739.80

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Solution

The fourth proportional to 118,872.60, 178,049.70 and 105,739.80 is: 158,379.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,872.60 : 178,049.70 = 105,739.80 : x
  2. Step 2: Convert to fraction form
    118,872.60/178,049.70 = 105,739.80/x
  3. Step 3: Cross multiply
    118,872.60x = 178,049.70 × 105,739.80
  4. Step 4: Simplify right side
    118,872.60x = 18,826,939,668.06
  5. Step 5: Solve for x
    x = 18,826,939,668.06/118,872.60
  6. Step 6: Final answer
    x = 158,379.14

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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.