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Finding the Fourth Proportional to 242,706.74, 364,224.06 and 84,936.56

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Solution

The fourth proportional to 242,706.74, 364,224.06 and 84,936.56 is: 127,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,706.74 : 364,224.06 = 84,936.56 : x
  2. Step 2: Convert to fraction form
    242,706.74/364,224.06 = 84,936.56/x
  3. Step 3: Cross multiply
    242,706.74x = 364,224.06 × 84,936.56
  4. Step 4: Simplify right side
    242,706.74x = 30,935,938,725.63
  5. Step 5: Solve for x
    x = 30,935,938,725.63/242,706.74
  6. Step 6: Final answer
    x = 127,462.22

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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.