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Finding the Fourth Proportional to 193,042.49, 289,664.70 and 140,171.21

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Solution

The fourth proportional to 193,042.49, 289,664.70 and 140,171.21 is: 210,330.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,042.49 : 289,664.70 = 140,171.21 : x
  2. Step 2: Convert to fraction form
    193,042.49/289,664.70 = 140,171.21/x
  3. Step 3: Cross multiply
    193,042.49x = 289,664.70 × 140,171.21
  4. Step 4: Simplify right side
    193,042.49x = 40,602,650,044.96
  5. Step 5: Solve for x
    x = 40,602,650,044.96/193,042.49
  6. Step 6: Final answer
    x = 210,330.13

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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.