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Finding the Fourth Proportional to 229,850.34, 317,096.01 and 140,374.50

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Solution

The fourth proportional to 229,850.34, 317,096.01 and 140,374.50 is: 193,657.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,850.34 : 317,096.01 = 140,374.50 : x
  2. Step 2: Convert to fraction form
    229,850.34/317,096.01 = 140,374.50/x
  3. Step 3: Cross multiply
    229,850.34x = 317,096.01 × 140,374.50
  4. Step 4: Simplify right side
    229,850.34x = 44,512,193,855.75
  5. Step 5: Solve for x
    x = 44,512,193,855.75/229,850.34
  6. Step 6: Final answer
    x = 193,657.29

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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.