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Finding the Fourth Proportional to 257,172.40, 385,240.20 and 146,234.80

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Solution

The fourth proportional to 257,172.40, 385,240.20 and 146,234.80 is: 219,057.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,172.40 : 385,240.20 = 146,234.80 : x
  2. Step 2: Convert to fraction form
    257,172.40/385,240.20 = 146,234.80/x
  3. Step 3: Cross multiply
    257,172.40x = 385,240.20 × 146,234.80
  4. Step 4: Simplify right side
    257,172.40x = 56,335,523,598.96
  5. Step 5: Solve for x
    x = 56,335,523,598.96/257,172.40
  6. Step 6: Final answer
    x = 219,057.42

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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.