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Finding the Fourth Proportional to 201,425.10, 301,773.15 and 96,011.70

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Solution

The fourth proportional to 201,425.10, 301,773.15 and 96,011.70 is: 143,843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,425.10 : 301,773.15 = 96,011.70 : x
  2. Step 2: Convert to fraction form
    201,425.10/301,773.15 = 96,011.70/x
  3. Step 3: Cross multiply
    201,425.10x = 301,773.15 × 96,011.70
  4. Step 4: Simplify right side
    201,425.10x = 28,973,753,145.86
  5. Step 5: Solve for x
    x = 28,973,753,145.86/201,425.10
  6. Step 6: Final answer
    x = 143,843.81

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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.