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Finding the Fourth Proportional to 137,657.68, 206,461.83 and 36,456.37

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Solution

The fourth proportional to 137,657.68, 206,461.83 and 36,456.37 is: 54,678.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,657.68 : 206,461.83 = 36,456.37 : x
  2. Step 2: Convert to fraction form
    137,657.68/206,461.83 = 36,456.37/x
  3. Step 3: Cross multiply
    137,657.68x = 206,461.83 × 36,456.37
  4. Step 4: Simplify right side
    137,657.68x = 7,526,848,865.36
  5. Step 5: Solve for x
    x = 7,526,848,865.36/137,657.68
  6. Step 6: Final answer
    x = 54,678.02

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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.