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Finding the Fourth Proportional to 256,395.30, 383,845.50 and 149,452.08

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Solution

The fourth proportional to 256,395.30, 383,845.50 and 149,452.08 is: 223,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,395.30 : 383,845.50 = 149,452.08 : x
  2. Step 2: Convert to fraction form
    256,395.30/383,845.50 = 149,452.08/x
  3. Step 3: Cross multiply
    256,395.30x = 383,845.50 × 149,452.08
  4. Step 4: Simplify right side
    256,395.30x = 57,366,508,373.64
  5. Step 5: Solve for x
    x = 57,366,508,373.64/256,395.30
  6. Step 6: Final answer
    x = 223,742.43

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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.