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Finding the Fourth Proportional to 175,223.20, 262,964.40 and 116,039.20

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Solution

The fourth proportional to 175,223.20, 262,964.40 and 116,039.20 is: 174,144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,223.20 : 262,964.40 = 116,039.20 : x
  2. Step 2: Convert to fraction form
    175,223.20/262,964.40 = 116,039.20/x
  3. Step 3: Cross multiply
    175,223.20x = 262,964.40 × 116,039.20
  4. Step 4: Simplify right side
    175,223.20x = 30,514,178,604.48
  5. Step 5: Solve for x
    x = 30,514,178,604.48/175,223.20
  6. Step 6: Final answer
    x = 174,144.63

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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.