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Finding the Fourth Proportional to 133,514, 184,249.50 and 83,213

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Solution

The fourth proportional to 133,514, 184,249.50 and 83,213 is: 114,834.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,514 : 184,249.50 = 83,213 : x
  2. Step 2: Convert to fraction form
    133,514/184,249.50 = 83,213/x
  3. Step 3: Cross multiply
    133,514x = 184,249.50 × 83,213
  4. Step 4: Simplify right side
    133,514x = 15,331,953,643.50
  5. Step 5: Solve for x
    x = 15,331,953,643.50/133,514
  6. Step 6: Final answer
    x = 114,834.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.