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Finding the Fourth Proportional to 133,498.82, 184,227.70 and 72,244.97

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Solution

The fourth proportional to 133,498.82, 184,227.70 and 72,244.97 is: 99,697.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,498.82 : 184,227.70 = 72,244.97 : x
  2. Step 2: Convert to fraction form
    133,498.82/184,227.70 = 72,244.97/x
  3. Step 3: Cross multiply
    133,498.82x = 184,227.70 × 72,244.97
  4. Step 4: Simplify right side
    133,498.82x = 13,309,523,377.31
  5. Step 5: Solve for x
    x = 13,309,523,377.31/133,498.82
  6. Step 6: Final answer
    x = 99,697.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.