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Finding the Fourth Proportional to 137,169.10, 205,425.60 and 110,925.10

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Solution

The fourth proportional to 137,169.10, 205,425.60 and 110,925.10 is: 166,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,169.10 : 205,425.60 = 110,925.10 : x
  2. Step 2: Convert to fraction form
    137,169.10/205,425.60 = 110,925.10/x
  3. Step 3: Cross multiply
    137,169.10x = 205,425.60 × 110,925.10
  4. Step 4: Simplify right side
    137,169.10x = 22,786,855,222.56
  5. Step 5: Solve for x
    x = 22,786,855,222.56/137,169.10
  6. Step 6: Final answer
    x = 166,122.36

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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.