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Finding the Fourth Proportional to 174,995.20, 262,492.80 and 140,003.20

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Solution

The fourth proportional to 174,995.20, 262,492.80 and 140,003.20 is: 210,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,995.20 : 262,492.80 = 140,003.20 : x
  2. Step 2: Convert to fraction form
    174,995.20/262,492.80 = 140,003.20/x
  3. Step 3: Cross multiply
    174,995.20x = 262,492.80 × 140,003.20
  4. Step 4: Simplify right side
    174,995.20x = 36,749,831,976.96
  5. Step 5: Solve for x
    x = 36,749,831,976.96/174,995.20
  6. Step 6: Final answer
    x = 210,004.80

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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.