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Finding the Fourth Proportional to 208,429.80, 312,644.70 and 68,202.60

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Solution

The fourth proportional to 208,429.80, 312,644.70 and 68,202.60 is: 102,303.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,429.80 : 312,644.70 = 68,202.60 : x
  2. Step 2: Convert to fraction form
    208,429.80/312,644.70 = 68,202.60/x
  3. Step 3: Cross multiply
    208,429.80x = 312,644.70 × 68,202.60
  4. Step 4: Simplify right side
    208,429.80x = 21,323,181,416.22
  5. Step 5: Solve for x
    x = 21,323,181,416.22/208,429.80
  6. Step 6: Final answer
    x = 102,303.90

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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.