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Finding the Fourth Proportional to 242,404.80, 363,088.80 and 200,932.80

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Solution

The fourth proportional to 242,404.80, 363,088.80 and 200,932.80 is: 300,969.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,404.80 : 363,088.80 = 200,932.80 : x
  2. Step 2: Convert to fraction form
    242,404.80/363,088.80 = 200,932.80/x
  3. Step 3: Cross multiply
    242,404.80x = 363,088.80 × 200,932.80
  4. Step 4: Simplify right side
    242,404.80x = 72,956,449,232.64
  5. Step 5: Solve for x
    x = 72,956,449,232.64/242,404.80
  6. Step 6: Final answer
    x = 300,969.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.