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Finding the Fourth Proportional to 242,767.18, 364,375.34 and 122,908.34

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Solution

The fourth proportional to 242,767.18, 364,375.34 and 122,908.34 is: 184,476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,767.18 : 364,375.34 = 122,908.34 : x
  2. Step 2: Convert to fraction form
    242,767.18/364,375.34 = 122,908.34/x
  3. Step 3: Cross multiply
    242,767.18x = 364,375.34 × 122,908.34
  4. Step 4: Simplify right side
    242,767.18x = 44,784,766,538.35
  5. Step 5: Solve for x
    x = 44,784,766,538.35/242,767.18
  6. Step 6: Final answer
    x = 184,476.20

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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.