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Finding the Fourth Proportional to 216,702.31, 299,334.92 and 166,337.40

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Solution

The fourth proportional to 216,702.31, 299,334.92 and 166,337.40 is: 229,764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,702.31 : 299,334.92 = 166,337.40 : x
  2. Step 2: Convert to fraction form
    216,702.31/299,334.92 = 166,337.40/x
  3. Step 3: Cross multiply
    216,702.31x = 299,334.92 × 166,337.40
  4. Step 4: Simplify right side
    216,702.31x = 49,790,591,396.89
  5. Step 5: Solve for x
    x = 49,790,591,396.89/216,702.31
  6. Step 6: Final answer
    x = 229,764.93

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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.