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Finding the Fourth Proportional to 241,654.20, 362,135.70 and 177,977.40

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Solution

The fourth proportional to 241,654.20, 362,135.70 and 177,977.40 is: 266,711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,654.20 : 362,135.70 = 177,977.40 : x
  2. Step 2: Convert to fraction form
    241,654.20/362,135.70 = 177,977.40/x
  3. Step 3: Cross multiply
    241,654.20x = 362,135.70 × 177,977.40
  4. Step 4: Simplify right side
    241,654.20x = 64,451,970,333.18
  5. Step 5: Solve for x
    x = 64,451,970,333.18/241,654.20
  6. Step 6: Final answer
    x = 266,711.57

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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.