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Finding the Fourth Proportional to 203,294.83, 280,539.30 and 117,257.34

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Solution

The fourth proportional to 203,294.83, 280,539.30 and 117,257.34 is: 161,810.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,294.83 : 280,539.30 = 117,257.34 : x
  2. Step 2: Convert to fraction form
    203,294.83/280,539.30 = 117,257.34/x
  3. Step 3: Cross multiply
    203,294.83x = 280,539.30 × 117,257.34
  4. Step 4: Simplify right side
    203,294.83x = 32,895,291,337.59
  5. Step 5: Solve for x
    x = 32,895,291,337.59/203,294.83
  6. Step 6: Final answer
    x = 161,810.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.