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Finding the Fourth Proportional to 339,319.20, 509,186.80 and 139,735.20

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Solution

The fourth proportional to 339,319.20, 509,186.80 and 139,735.20 is: 209,688.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,319.20 : 509,186.80 = 139,735.20 : x
  2. Step 2: Convert to fraction form
    339,319.20/509,186.80 = 139,735.20/x
  3. Step 3: Cross multiply
    339,319.20x = 509,186.80 × 139,735.20
  4. Step 4: Simplify right side
    339,319.20x = 71,151,319,335.36
  5. Step 5: Solve for x
    x = 71,151,319,335.36/339,319.20
  6. Step 6: Final answer
    x = 209,688.46

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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.