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Finding the Fourth Proportional to 174,056.80, 260,739.60 and 95,029.60

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Solution

The fourth proportional to 174,056.80, 260,739.60 and 95,029.60 is: 142,355.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,056.80 : 260,739.60 = 95,029.60 : x
  2. Step 2: Convert to fraction form
    174,056.80/260,739.60 = 95,029.60/x
  3. Step 3: Cross multiply
    174,056.80x = 260,739.60 × 95,029.60
  4. Step 4: Simplify right side
    174,056.80x = 24,777,979,892.16
  5. Step 5: Solve for x
    x = 24,777,979,892.16/174,056.80
  6. Step 6: Final answer
    x = 142,355.71

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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.