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Finding the Fourth Proportional to 133,728.44, 200,460.70 and 63,656.96

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Solution

The fourth proportional to 133,728.44, 200,460.70 and 63,656.96 is: 95,422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,728.44 : 200,460.70 = 63,656.96 : x
  2. Step 2: Convert to fraction form
    133,728.44/200,460.70 = 63,656.96/x
  3. Step 3: Cross multiply
    133,728.44x = 200,460.70 × 63,656.96
  4. Step 4: Simplify right side
    133,728.44x = 12,760,718,761.47
  5. Step 5: Solve for x
    x = 12,760,718,761.47/133,728.44
  6. Step 6: Final answer
    x = 95,422.62

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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.