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Finding the Fourth Proportional to 333,204.96, 459,708.98 and 189,861.69

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Solution

The fourth proportional to 333,204.96, 459,708.98 and 189,861.69 is: 261,944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,204.96 : 459,708.98 = 189,861.69 : x
  2. Step 2: Convert to fraction form
    333,204.96/459,708.98 = 189,861.69/x
  3. Step 3: Cross multiply
    333,204.96x = 459,708.98 × 189,861.69
  4. Step 4: Simplify right side
    333,204.96x = 87,281,122,901.67
  5. Step 5: Solve for x
    x = 87,281,122,901.67/333,204.96
  6. Step 6: Final answer
    x = 261,944.25

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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.