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Finding the Fourth Proportional to 255,902.55, 383,742.28 and 135,933.22

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Solution

The fourth proportional to 255,902.55, 383,742.28 and 135,933.22 is: 203,840.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,902.55 : 383,742.28 = 135,933.22 : x
  2. Step 2: Convert to fraction form
    255,902.55/383,742.28 = 135,933.22/x
  3. Step 3: Cross multiply
    255,902.55x = 383,742.28 × 135,933.22
  4. Step 4: Simplify right side
    255,902.55x = 52,163,323,770.54
  5. Step 5: Solve for x
    x = 52,163,323,770.54/255,902.55
  6. Step 6: Final answer
    x = 203,840.58

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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.