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Finding the Fourth Proportional to 242,686.80, 363,900.60 and 102,286.80

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Solution

The fourth proportional to 242,686.80, 363,900.60 and 102,286.80 is: 153,375.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,686.80 : 363,900.60 = 102,286.80 : x
  2. Step 2: Convert to fraction form
    242,686.80/363,900.60 = 102,286.80/x
  3. Step 3: Cross multiply
    242,686.80x = 363,900.60 × 102,286.80
  4. Step 4: Simplify right side
    242,686.80x = 37,222,227,892.08
  5. Step 5: Solve for x
    x = 37,222,227,892.08/242,686.80
  6. Step 6: Final answer
    x = 153,375.58

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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.