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Finding the Fourth Proportional to 301,898.56, 452,691.68 and 135,544.64

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Solution

The fourth proportional to 301,898.56, 452,691.68 and 135,544.64 is: 203,246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,898.56 : 452,691.68 = 135,544.64 : x
  2. Step 2: Convert to fraction form
    301,898.56/452,691.68 = 135,544.64/x
  3. Step 3: Cross multiply
    301,898.56x = 452,691.68 × 135,544.64
  4. Step 4: Simplify right side
    301,898.56x = 61,359,930,796.60
  5. Step 5: Solve for x
    x = 61,359,930,796.60/301,898.56
  6. Step 6: Final answer
    x = 203,246.85

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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.