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Finding the Fourth Proportional to 238,074.34, 356,976.10 and 184,019.86

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Solution

The fourth proportional to 238,074.34, 356,976.10 and 184,019.86 is: 275,925.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,074.34 : 356,976.10 = 184,019.86 : x
  2. Step 2: Convert to fraction form
    238,074.34/356,976.10 = 184,019.86/x
  3. Step 3: Cross multiply
    238,074.34x = 356,976.10 × 184,019.86
  4. Step 4: Simplify right side
    238,074.34x = 65,690,691,945.35
  5. Step 5: Solve for x
    x = 65,690,691,945.35/238,074.34
  6. Step 6: Final answer
    x = 275,925.12

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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.