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Finding the Fourth Proportional to 203,102.60, 304,706.46 and 118,933.88

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Solution

The fourth proportional to 203,102.60, 304,706.46 and 118,933.88 is: 178,431.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,102.60 : 304,706.46 = 118,933.88 : x
  2. Step 2: Convert to fraction form
    203,102.60/304,706.46 = 118,933.88/x
  3. Step 3: Cross multiply
    203,102.60x = 304,706.46 × 118,933.88
  4. Step 4: Simplify right side
    203,102.60x = 36,239,921,548.86
  5. Step 5: Solve for x
    x = 36,239,921,548.86/203,102.60
  6. Step 6: Final answer
    x = 178,431.60

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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.