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Finding the Fourth Proportional to 137,666.39, 206,459.82 and 37,829.84

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Solution

The fourth proportional to 137,666.39, 206,459.82 and 37,829.84 is: 56,733.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,666.39 : 206,459.82 = 37,829.84 : x
  2. Step 2: Convert to fraction form
    137,666.39/206,459.82 = 37,829.84/x
  3. Step 3: Cross multiply
    137,666.39x = 206,459.82 × 37,829.84
  4. Step 4: Simplify right side
    137,666.39x = 7,810,340,924.73
  5. Step 5: Solve for x
    x = 7,810,340,924.73/137,666.39
  6. Step 6: Final answer
    x = 56,733.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.