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Finding the Fourth Proportional to 243,137.03, 364,398.76 and 123,224.11

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Solution

The fourth proportional to 243,137.03, 364,398.76 and 123,224.11 is: 184,680.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,137.03 : 364,398.76 = 123,224.11 : x
  2. Step 2: Convert to fraction form
    243,137.03/364,398.76 = 123,224.11/x
  3. Step 3: Cross multiply
    243,137.03x = 364,398.76 × 123,224.11
  4. Step 4: Simplify right side
    243,137.03x = 44,902,711,667.05
  5. Step 5: Solve for x
    x = 44,902,711,667.05/243,137.03
  6. Step 6: Final answer
    x = 184,680.68

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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.