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Finding the Fourth Proportional to 204,038.40, 306,057.60 and 147,613.80

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Solution

The fourth proportional to 204,038.40, 306,057.60 and 147,613.80 is: 221,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,038.40 : 306,057.60 = 147,613.80 : x
  2. Step 2: Convert to fraction form
    204,038.40/306,057.60 = 147,613.80/x
  3. Step 3: Cross multiply
    204,038.40x = 306,057.60 × 147,613.80
  4. Step 4: Simplify right side
    204,038.40x = 45,178,325,354.88
  5. Step 5: Solve for x
    x = 45,178,325,354.88/204,038.40
  6. Step 6: Final answer
    x = 221,420.70

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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.