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Finding the Fourth Proportional to 137,656.68, 206,460.33 and 36,455.37

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Solution

The fourth proportional to 137,656.68, 206,460.33 and 36,455.37 is: 54,676.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,656.68 : 206,460.33 = 36,455.37 : x
  2. Step 2: Convert to fraction form
    137,656.68/206,460.33 = 36,455.37/x
  3. Step 3: Cross multiply
    137,656.68x = 206,460.33 × 36,455.37
  4. Step 4: Simplify right side
    137,656.68x = 7,526,587,720.47
  5. Step 5: Solve for x
    x = 7,526,587,720.47/137,656.68
  6. Step 6: Final answer
    x = 54,676.52

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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.