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Finding the Fourth Proportional to 255,369.20, 382,120.64 and 150,237.68

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Solution

The fourth proportional to 255,369.20, 382,120.64 and 150,237.68 is: 224,807.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,369.20 : 382,120.64 = 150,237.68 : x
  2. Step 2: Convert to fraction form
    255,369.20/382,120.64 = 150,237.68/x
  3. Step 3: Cross multiply
    255,369.20x = 382,120.64 × 150,237.68
  4. Step 4: Simplify right side
    255,369.20x = 57,408,918,433.72
  5. Step 5: Solve for x
    x = 57,408,918,433.72/255,369.20
  6. Step 6: Final answer
    x = 224,807.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.