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Finding the Fourth Proportional to 257,050.07, 385,641.62 and 150,524.03

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Solution

The fourth proportional to 257,050.07, 385,641.62 and 150,524.03 is: 225,824.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,050.07 : 385,641.62 = 150,524.03 : x
  2. Step 2: Convert to fraction form
    257,050.07/385,641.62 = 150,524.03/x
  3. Step 3: Cross multiply
    257,050.07x = 385,641.62 × 150,524.03
  4. Step 4: Simplify right side
    257,050.07x = 58,048,328,097.30
  5. Step 5: Solve for x
    x = 58,048,328,097.30/257,050.07
  6. Step 6: Final answer
    x = 225,824.99

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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.