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Finding the Fourth Proportional to 199,404.60, 299,567.70 and 137,196.60

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Solution

The fourth proportional to 199,404.60, 299,567.70 and 137,196.60 is: 206,111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,404.60 : 299,567.70 = 137,196.60 : x
  2. Step 2: Convert to fraction form
    199,404.60/299,567.70 = 137,196.60/x
  3. Step 3: Cross multiply
    199,404.60x = 299,567.70 × 137,196.60
  4. Step 4: Simplify right side
    199,404.60x = 41,099,669,909.82
  5. Step 5: Solve for x
    x = 41,099,669,909.82/199,404.60
  6. Step 6: Final answer
    x = 206,111.94

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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.