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Finding the Fourth Proportional to 256,218.90, 384,443.55 and 115,905.30

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Solution

The fourth proportional to 256,218.90, 384,443.55 and 115,905.30 is: 173,910.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,218.90 : 384,443.55 = 115,905.30 : x
  2. Step 2: Convert to fraction form
    256,218.90/384,443.55 = 115,905.30/x
  3. Step 3: Cross multiply
    256,218.90x = 384,443.55 × 115,905.30
  4. Step 4: Simplify right side
    256,218.90x = 44,559,044,995.82
  5. Step 5: Solve for x
    x = 44,559,044,995.82/256,218.90
  6. Step 6: Final answer
    x = 173,910.06

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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.