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Finding the Fourth Proportional to 181,694.40, 272,703.60 and 106,720.80

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Solution

The fourth proportional to 181,694.40, 272,703.60 and 106,720.80 is: 160,176.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,694.40 : 272,703.60 = 106,720.80 : x
  2. Step 2: Convert to fraction form
    181,694.40/272,703.60 = 106,720.80/x
  3. Step 3: Cross multiply
    181,694.40x = 272,703.60 × 106,720.80
  4. Step 4: Simplify right side
    181,694.40x = 29,103,146,354.88
  5. Step 5: Solve for x
    x = 29,103,146,354.88/181,694.40
  6. Step 6: Final answer
    x = 160,176.35

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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.