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Finding the Fourth Proportional to 133,646.20, 200,523.30 and 58,780.60

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Solution

The fourth proportional to 133,646.20, 200,523.30 and 58,780.60 is: 88,194.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,646.20 : 200,523.30 = 58,780.60 : x
  2. Step 2: Convert to fraction form
    133,646.20/200,523.30 = 58,780.60/x
  3. Step 3: Cross multiply
    133,646.20x = 200,523.30 × 58,780.60
  4. Step 4: Simplify right side
    133,646.20x = 11,786,879,887.98
  5. Step 5: Solve for x
    x = 11,786,879,887.98/133,646.20
  6. Step 6: Final answer
    x = 88,194.65

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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.