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Finding the Fourth Proportional to 245,142.68, 367,503.42 and 85,197.84

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Solution

The fourth proportional to 245,142.68, 367,503.42 and 85,197.84 is: 127,723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,142.68 : 367,503.42 = 85,197.84 : x
  2. Step 2: Convert to fraction form
    245,142.68/367,503.42 = 85,197.84/x
  3. Step 3: Cross multiply
    245,142.68x = 367,503.42 × 85,197.84
  4. Step 4: Simplify right side
    245,142.68x = 31,310,495,739.10
  5. Step 5: Solve for x
    x = 31,310,495,739.10/245,142.68
  6. Step 6: Final answer
    x = 127,723.56

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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.