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Finding the Fourth Proportional to 242,706.96, 364,224.45 and 84,936.78

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Solution

The fourth proportional to 242,706.96, 364,224.45 and 84,936.78 is: 127,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,706.96 : 364,224.45 = 84,936.78 : x
  2. Step 2: Convert to fraction form
    242,706.96/364,224.45 = 84,936.78/x
  3. Step 3: Cross multiply
    242,706.96x = 364,224.45 × 84,936.78
  4. Step 4: Simplify right side
    242,706.96x = 30,936,051,980.27
  5. Step 5: Solve for x
    x = 30,936,051,980.27/242,706.96
  6. Step 6: Final answer
    x = 127,462.57

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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.