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Finding the Fourth Proportional to 213,028.80, 319,543.20 and 179,203.20

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Solution

The fourth proportional to 213,028.80, 319,543.20 and 179,203.20 is: 268,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,028.80 : 319,543.20 = 179,203.20 : x
  2. Step 2: Convert to fraction form
    213,028.80/319,543.20 = 179,203.20/x
  3. Step 3: Cross multiply
    213,028.80x = 319,543.20 × 179,203.20
  4. Step 4: Simplify right side
    213,028.80x = 57,263,163,978.24
  5. Step 5: Solve for x
    x = 57,263,163,978.24/213,028.80
  6. Step 6: Final answer
    x = 268,804.80

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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.