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Finding the Fourth Proportional to 212,849.31, 293,734.03 and 117,359.40

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Solution

The fourth proportional to 212,849.31, 293,734.03 and 117,359.40 is: 161,957.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,849.31 : 293,734.03 = 117,359.40 : x
  2. Step 2: Convert to fraction form
    212,849.31/293,734.03 = 117,359.40/x
  3. Step 3: Cross multiply
    212,849.31x = 293,734.03 × 117,359.40
  4. Step 4: Simplify right side
    212,849.31x = 34,472,449,520.38
  5. Step 5: Solve for x
    x = 34,472,449,520.38/212,849.31
  6. Step 6: Final answer
    x = 161,957.06

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Why These Related Problems?

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