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Finding the Fourth Proportional to 256,233.20, 384,349.80 and 114,078.20

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Solution

The fourth proportional to 256,233.20, 384,349.80 and 114,078.20 is: 171,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,233.20 : 384,349.80 = 114,078.20 : x
  2. Step 2: Convert to fraction form
    256,233.20/384,349.80 = 114,078.20/x
  3. Step 3: Cross multiply
    256,233.20x = 384,349.80 × 114,078.20
  4. Step 4: Simplify right side
    256,233.20x = 43,845,933,354.36
  5. Step 5: Solve for x
    x = 43,845,933,354.36/256,233.20
  6. Step 6: Final answer
    x = 171,117.30

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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.