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Finding the Fourth Proportional to 133,801.96, 200,710.62 and 40,297.96

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Solution

The fourth proportional to 133,801.96, 200,710.62 and 40,297.96 is: 60,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,801.96 : 200,710.62 = 40,297.96 : x
  2. Step 2: Convert to fraction form
    133,801.96/200,710.62 = 40,297.96/x
  3. Step 3: Cross multiply
    133,801.96x = 200,710.62 × 40,297.96
  4. Step 4: Simplify right side
    133,801.96x = 8,088,228,536.34
  5. Step 5: Solve for x
    x = 8,088,228,536.34/133,801.96
  6. Step 6: Final answer
    x = 60,449.25

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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.