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Finding the Fourth Proportional to 180,892.78, 271,341.47 and 68,542.81

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Solution

The fourth proportional to 180,892.78, 271,341.47 and 68,542.81 is: 102,815.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,892.78 : 271,341.47 = 68,542.81 : x
  2. Step 2: Convert to fraction form
    180,892.78/271,341.47 = 68,542.81/x
  3. Step 3: Cross multiply
    180,892.78x = 271,341.47 × 68,542.81
  4. Step 4: Simplify right side
    180,892.78x = 18,598,506,823.33
  5. Step 5: Solve for x
    x = 18,598,506,823.33/180,892.78
  6. Step 6: Final answer
    x = 102,815.09

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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.