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Finding the Fourth Proportional to 133,933.21, 200,930.50 and 58,044.50

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Solution

The fourth proportional to 133,933.21, 200,930.50 and 58,044.50 is: 87,080.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,933.21 : 200,930.50 = 58,044.50 : x
  2. Step 2: Convert to fraction form
    133,933.21/200,930.50 = 58,044.50/x
  3. Step 3: Cross multiply
    133,933.21x = 200,930.50 × 58,044.50
  4. Step 4: Simplify right side
    133,933.21x = 11,662,909,496.75
  5. Step 5: Solve for x
    x = 11,662,909,496.75/133,933.21
  6. Step 6: Final answer
    x = 87,080.04

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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.