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Finding the Fourth Proportional to 254,782.80, 382,182.96 and 114,541.92

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Solution

The fourth proportional to 254,782.80, 382,182.96 and 114,541.92 is: 171,816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,782.80 : 382,182.96 = 114,541.92 : x
  2. Step 2: Convert to fraction form
    254,782.80/382,182.96 = 114,541.92/x
  3. Step 3: Cross multiply
    254,782.80x = 382,182.96 × 114,541.92
  4. Step 4: Simplify right side
    254,782.80x = 43,775,970,029.68
  5. Step 5: Solve for x
    x = 43,775,970,029.68/254,782.80
  6. Step 6: Final answer
    x = 171,816.82

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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.