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Finding the Fourth Proportional to 210,912.49, 291,049.89 and 115,423.21

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Solution

The fourth proportional to 210,912.49, 291,049.89 and 115,423.21 is: 159,278.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,912.49 : 291,049.89 = 115,423.21 : x
  2. Step 2: Convert to fraction form
    210,912.49/291,049.89 = 115,423.21/x
  3. Step 3: Cross multiply
    210,912.49x = 291,049.89 × 115,423.21
  4. Step 4: Simplify right side
    210,912.49x = 33,593,912,573.95
  5. Step 5: Solve for x
    x = 33,593,912,573.95/210,912.49
  6. Step 6: Final answer
    x = 159,278.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.