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Finding the Fourth Proportional to 110,606.20, 165,963.30 and 51,411.40

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Solution

The fourth proportional to 110,606.20, 165,963.30 and 51,411.40 is: 77,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,606.20 : 165,963.30 = 51,411.40 : x
  2. Step 2: Convert to fraction form
    110,606.20/165,963.30 = 51,411.40/x
  3. Step 3: Cross multiply
    110,606.20x = 165,963.30 × 51,411.40
  4. Step 4: Simplify right side
    110,606.20x = 8,532,405,601.62
  5. Step 5: Solve for x
    x = 8,532,405,601.62/110,606.20
  6. Step 6: Final answer
    x = 77,142.20

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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.