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Finding the Fourth Proportional to 257,251.50, 385,877.46 and 107,410.14

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Solution

The fourth proportional to 257,251.50, 385,877.46 and 107,410.14 is: 161,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,251.50 : 385,877.46 = 107,410.14 : x
  2. Step 2: Convert to fraction form
    257,251.50/385,877.46 = 107,410.14/x
  3. Step 3: Cross multiply
    257,251.50x = 385,877.46 × 107,410.14
  4. Step 4: Simplify right side
    257,251.50x = 41,447,152,001.44
  5. Step 5: Solve for x
    x = 41,447,152,001.44/257,251.50
  6. Step 6: Final answer
    x = 161,115.30

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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.