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Finding the Fourth Proportional to 231,861.60, 348,214.80 and 138,549.60

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Solution

The fourth proportional to 231,861.60, 348,214.80 and 138,549.60 is: 208,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,861.60 : 348,214.80 = 138,549.60 : x
  2. Step 2: Convert to fraction form
    231,861.60/348,214.80 = 138,549.60/x
  3. Step 3: Cross multiply
    231,861.60x = 348,214.80 × 138,549.60
  4. Step 4: Simplify right side
    231,861.60x = 48,245,021,254.08
  5. Step 5: Solve for x
    x = 48,245,021,254.08/231,861.60
  6. Step 6: Final answer
    x = 208,076.81

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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.