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Finding the Fourth Proportional to 255,090.30, 382,635.45 and 178,982.70

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Solution

The fourth proportional to 255,090.30, 382,635.45 and 178,982.70 is: 268,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,090.30 : 382,635.45 = 178,982.70 : x
  2. Step 2: Convert to fraction form
    255,090.30/382,635.45 = 178,982.70/x
  3. Step 3: Cross multiply
    255,090.30x = 382,635.45 × 178,982.70
  4. Step 4: Simplify right side
    255,090.30x = 68,485,125,956.72
  5. Step 5: Solve for x
    x = 68,485,125,956.72/255,090.30
  6. Step 6: Final answer
    x = 268,474.05

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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.