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Finding the Fourth Proportional to 131,442.40, 197,309.40 and 81,578.80

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Solution

The fourth proportional to 131,442.40, 197,309.40 and 81,578.80 is: 122,458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,442.40 : 197,309.40 = 81,578.80 : x
  2. Step 2: Convert to fraction form
    131,442.40/197,309.40 = 81,578.80/x
  3. Step 3: Cross multiply
    131,442.40x = 197,309.40 × 81,578.80
  4. Step 4: Simplify right side
    131,442.40x = 16,096,264,080.72
  5. Step 5: Solve for x
    x = 16,096,264,080.72/131,442.40
  6. Step 6: Final answer
    x = 122,458.69

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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.