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Finding the Fourth Proportional to 172,938.30, 259,407.45 and 137,946.30

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Solution

The fourth proportional to 172,938.30, 259,407.45 and 137,946.30 is: 206,919.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,938.30 : 259,407.45 = 137,946.30 : x
  2. Step 2: Convert to fraction form
    172,938.30/259,407.45 = 137,946.30/x
  3. Step 3: Cross multiply
    172,938.30x = 259,407.45 × 137,946.30
  4. Step 4: Simplify right side
    172,938.30x = 35,784,297,919.94
  5. Step 5: Solve for x
    x = 35,784,297,919.94/172,938.30
  6. Step 6: Final answer
    x = 206,919.45

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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.