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Finding the Fourth Proportional to 174,627.20, 261,940.80 and 114,492.80

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Solution

The fourth proportional to 174,627.20, 261,940.80 and 114,492.80 is: 171,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,627.20 : 261,940.80 = 114,492.80 : x
  2. Step 2: Convert to fraction form
    174,627.20/261,940.80 = 114,492.80/x
  3. Step 3: Cross multiply
    174,627.20x = 261,940.80 × 114,492.80
  4. Step 4: Simplify right side
    174,627.20x = 29,990,335,626.24
  5. Step 5: Solve for x
    x = 29,990,335,626.24/174,627.20
  6. Step 6: Final answer
    x = 171,739.20

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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.