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Finding the Fourth Proportional to 238,633, 329,294.08 and 140,500.76

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Solution

The fourth proportional to 238,633, 329,294.08 and 140,500.76 is: 193,879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,633 : 329,294.08 = 140,500.76 : x
  2. Step 2: Convert to fraction form
    238,633/329,294.08 = 140,500.76/x
  3. Step 3: Cross multiply
    238,633x = 329,294.08 × 140,500.76
  4. Step 4: Simplify right side
    238,633x = 46,266,068,503.50
  5. Step 5: Solve for x
    x = 46,266,068,503.50/238,633
  6. Step 6: Final answer
    x = 193,879.59

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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.