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Finding the Fourth Proportional to 174,951.16, 262,880.34 and 152,824.12

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Solution

The fourth proportional to 174,951.16, 262,880.34 and 152,824.12 is: 229,632.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,951.16 : 262,880.34 = 152,824.12 : x
  2. Step 2: Convert to fraction form
    174,951.16/262,880.34 = 152,824.12/x
  3. Step 3: Cross multiply
    174,951.16x = 262,880.34 × 152,824.12
  4. Step 4: Simplify right side
    174,951.16x = 40,174,456,625.80
  5. Step 5: Solve for x
    x = 40,174,456,625.80/174,951.16
  6. Step 6: Final answer
    x = 229,632.41

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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.