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Finding the Fourth Proportional to 257,202, 385,803.04 and 107,360.54

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Solution

The fourth proportional to 257,202, 385,803.04 and 107,360.54 is: 161,040.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,202 : 385,803.04 = 107,360.54 : x
  2. Step 2: Convert to fraction form
    257,202/385,803.04 = 107,360.54/x
  3. Step 3: Cross multiply
    257,202x = 385,803.04 × 107,360.54
  4. Step 4: Simplify right side
    257,202x = 41,420,022,708.04
  5. Step 5: Solve for x
    x = 41,420,022,708.04/257,202
  6. Step 6: Final answer
    x = 161,040.83

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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.