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Finding the Fourth Proportional to 116,608.10, 174,902.04 and 71,004.02

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Solution

The fourth proportional to 116,608.10, 174,902.04 and 71,004.02 is: 106,499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,608.10 : 174,902.04 = 71,004.02 : x
  2. Step 2: Convert to fraction form
    116,608.10/174,902.04 = 71,004.02/x
  3. Step 3: Cross multiply
    116,608.10x = 174,902.04 × 71,004.02
  4. Step 4: Simplify right side
    116,608.10x = 12,418,747,946.20
  5. Step 5: Solve for x
    x = 12,418,747,946.20/116,608.10
  6. Step 6: Final answer
    x = 106,499.87

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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.