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Finding the Fourth Proportional to 256,200.90, 384,416.55 and 115,887.30

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Solution

The fourth proportional to 256,200.90, 384,416.55 and 115,887.30 is: 173,883.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,200.90 : 384,416.55 = 115,887.30 : x
  2. Step 2: Convert to fraction form
    256,200.90/384,416.55 = 115,887.30/x
  3. Step 3: Cross multiply
    256,200.90x = 384,416.55 × 115,887.30
  4. Step 4: Simplify right side
    256,200.90x = 44,548,996,054.82
  5. Step 5: Solve for x
    x = 44,548,996,054.82/256,200.90
  6. Step 6: Final answer
    x = 173,883.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.