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Finding the Fourth Proportional to 242,455.84, 363,740.96 and 76,243.84

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Solution

The fourth proportional to 242,455.84, 363,740.96 and 76,243.84 is: 114,383.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,455.84 : 363,740.96 = 76,243.84 : x
  2. Step 2: Convert to fraction form
    242,455.84/363,740.96 = 76,243.84/x
  3. Step 3: Cross multiply
    242,455.84x = 363,740.96 × 76,243.84
  4. Step 4: Simplify right side
    242,455.84x = 27,733,007,555.69
  5. Step 5: Solve for x
    x = 27,733,007,555.69/242,455.84
  6. Step 6: Final answer
    x = 114,383.75

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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.