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Finding the Fourth Proportional to 139,721.80, 209,582.70 and 50,978.20

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Solution

The fourth proportional to 139,721.80, 209,582.70 and 50,978.20 is: 76,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,721.80 : 209,582.70 = 50,978.20 : x
  2. Step 2: Convert to fraction form
    139,721.80/209,582.70 = 50,978.20/x
  3. Step 3: Cross multiply
    139,721.80x = 209,582.70 × 50,978.20
  4. Step 4: Simplify right side
    139,721.80x = 10,684,148,797.14
  5. Step 5: Solve for x
    x = 10,684,148,797.14/139,721.80
  6. Step 6: Final answer
    x = 76,467.30

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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.