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Finding the Fourth Proportional to 174,859.20, 262,288.80 and 171,943.20

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Solution

The fourth proportional to 174,859.20, 262,288.80 and 171,943.20 is: 257,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,859.20 : 262,288.80 = 171,943.20 : x
  2. Step 2: Convert to fraction form
    174,859.20/262,288.80 = 171,943.20/x
  3. Step 3: Cross multiply
    174,859.20x = 262,288.80 × 171,943.20
  4. Step 4: Simplify right side
    174,859.20x = 45,098,775,596.16
  5. Step 5: Solve for x
    x = 45,098,775,596.16/174,859.20
  6. Step 6: Final answer
    x = 257,914.80

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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.