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Finding the Fourth Proportional to 242,405.80, 363,090.30 and 200,933.80

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Solution

The fourth proportional to 242,405.80, 363,090.30 and 200,933.80 is: 300,970.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,405.80 : 363,090.30 = 200,933.80 : x
  2. Step 2: Convert to fraction form
    242,405.80/363,090.30 = 200,933.80/x
  3. Step 3: Cross multiply
    242,405.80x = 363,090.30 × 200,933.80
  4. Step 4: Simplify right side
    242,405.80x = 72,957,113,722.14
  5. Step 5: Solve for x
    x = 72,957,113,722.14/242,405.80
  6. Step 6: Final answer
    x = 300,970.99

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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.