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Finding the Fourth Proportional to 174,674.20, 261,719.70 and 149,596.60

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Solution

The fourth proportional to 174,674.20, 261,719.70 and 149,596.60 is: 224,145.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,674.20 : 261,719.70 = 149,596.60 : x
  2. Step 2: Convert to fraction form
    174,674.20/261,719.70 = 149,596.60/x
  3. Step 3: Cross multiply
    174,674.20x = 261,719.70 × 149,596.60
  4. Step 4: Simplify right side
    174,674.20x = 39,152,377,273.02
  5. Step 5: Solve for x
    x = 39,152,377,273.02/174,674.20
  6. Step 6: Final answer
    x = 224,145.16

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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.