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Finding the Fourth Proportional to 214,401.69, 295,777.31 and 133,849.08

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Solution

The fourth proportional to 214,401.69, 295,777.31 and 133,849.08 is: 184,651.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,401.69 : 295,777.31 = 133,849.08 : x
  2. Step 2: Convert to fraction form
    214,401.69/295,777.31 = 133,849.08/x
  3. Step 3: Cross multiply
    214,401.69x = 295,777.31 × 133,849.08
  4. Step 4: Simplify right side
    214,401.69x = 39,589,520,159.13
  5. Step 5: Solve for x
    x = 39,589,520,159.13/214,401.69
  6. Step 6: Final answer
    x = 184,651.16

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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.