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Finding the Fourth Proportional to 272,144.20, 408,216.30 and 138,980.20

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Solution

The fourth proportional to 272,144.20, 408,216.30 and 138,980.20 is: 208,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,144.20 : 408,216.30 = 138,980.20 : x
  2. Step 2: Convert to fraction form
    272,144.20/408,216.30 = 138,980.20/x
  3. Step 3: Cross multiply
    272,144.20x = 408,216.30 × 138,980.20
  4. Step 4: Simplify right side
    272,144.20x = 56,733,983,017.26
  5. Step 5: Solve for x
    x = 56,733,983,017.26/272,144.20
  6. Step 6: Final answer
    x = 208,470.30

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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.