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Finding the Fourth Proportional to 133,665.26, 200,528.86 and 38,897.68

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Solution

The fourth proportional to 133,665.26, 200,528.86 and 38,897.68 is: 58,355.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,665.26 : 200,528.86 = 38,897.68 : x
  2. Step 2: Convert to fraction form
    133,665.26/200,528.86 = 38,897.68/x
  3. Step 3: Cross multiply
    133,665.26x = 200,528.86 × 38,897.68
  4. Step 4: Simplify right side
    133,665.26x = 7,800,107,427.04
  5. Step 5: Solve for x
    x = 7,800,107,427.04/133,665.26
  6. Step 6: Final answer
    x = 58,355.53

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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.