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Finding the Fourth Proportional to 242,792.96, 364,189.60 and 76,593.92

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Solution

The fourth proportional to 242,792.96, 364,189.60 and 76,593.92 is: 114,890.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,792.96 : 364,189.60 = 76,593.92 : x
  2. Step 2: Convert to fraction form
    242,792.96/364,189.60 = 76,593.92/x
  3. Step 3: Cross multiply
    242,792.96x = 364,189.60 × 76,593.92
  4. Step 4: Simplify right side
    242,792.96x = 27,894,709,087.23
  5. Step 5: Solve for x
    x = 27,894,709,087.23/242,792.96
  6. Step 6: Final answer
    x = 114,890.93

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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.