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Finding the Fourth Proportional to 218,346.88, 327,670.64 and 76,192.96

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Solution

The fourth proportional to 218,346.88, 327,670.64 and 76,192.96 is: 114,341.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,346.88 : 327,670.64 = 76,192.96 : x
  2. Step 2: Convert to fraction form
    218,346.88/327,670.64 = 76,192.96/x
  3. Step 3: Cross multiply
    218,346.88x = 327,670.64 × 76,192.96
  4. Step 4: Simplify right side
    218,346.88x = 24,966,195,966.69
  5. Step 5: Solve for x
    x = 24,966,195,966.69/218,346.88
  6. Step 6: Final answer
    x = 114,341.89

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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.