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Finding the Fourth Proportional to 238,735.36, 357,895.68 and 140,032

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Solution

The fourth proportional to 238,735.36, 357,895.68 and 140,032 is: 209,926.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,735.36 : 357,895.68 = 140,032 : x
  2. Step 2: Convert to fraction form
    238,735.36/357,895.68 = 140,032/x
  3. Step 3: Cross multiply
    238,735.36x = 357,895.68 × 140,032
  4. Step 4: Simplify right side
    238,735.36x = 50,116,847,861.76
  5. Step 5: Solve for x
    x = 50,116,847,861.76/238,735.36
  6. Step 6: Final answer
    x = 209,926.37

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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.