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Finding the Fourth Proportional to 133,546.60, 200,319.90 and 83,780.20

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Solution

The fourth proportional to 133,546.60, 200,319.90 and 83,780.20 is: 125,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,546.60 : 200,319.90 = 83,780.20 : x
  2. Step 2: Convert to fraction form
    133,546.60/200,319.90 = 83,780.20/x
  3. Step 3: Cross multiply
    133,546.60x = 200,319.90 × 83,780.20
  4. Step 4: Simplify right side
    133,546.60x = 16,782,841,285.98
  5. Step 5: Solve for x
    x = 16,782,841,285.98/133,546.60
  6. Step 6: Final answer
    x = 125,670.30

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1.5x scale

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.