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Finding the Fourth Proportional to 257,544, 355,527.12 and 162,190.80

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Solution

The fourth proportional to 257,544, 355,527.12 and 162,190.80 is: 223,896.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,544 : 355,527.12 = 162,190.80 : x
  2. Step 2: Convert to fraction form
    257,544/355,527.12 = 162,190.80/x
  3. Step 3: Cross multiply
    257,544x = 355,527.12 × 162,190.80
  4. Step 4: Simplify right side
    257,544x = 57,663,228,014.50
  5. Step 5: Solve for x
    x = 57,663,228,014.50/257,544
  6. Step 6: Final answer
    x = 223,896.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.