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Finding the Fourth Proportional to 254,871.25, 382,085.43 and 149,468.78

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Solution

The fourth proportional to 254,871.25, 382,085.43 and 149,468.78 is: 224,073.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,871.25 : 382,085.43 = 149,468.78 : x
  2. Step 2: Convert to fraction form
    254,871.25/382,085.43 = 149,468.78/x
  3. Step 3: Cross multiply
    254,871.25x = 382,085.43 × 149,468.78
  4. Step 4: Simplify right side
    254,871.25x = 57,109,843,077.88
  5. Step 5: Solve for x
    x = 57,109,843,077.88/254,871.25
  6. Step 6: Final answer
    x = 224,073.30

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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.