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Finding the Fourth Proportional to 333,137.81, 459,741.12 and 182,234.81

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Solution

The fourth proportional to 333,137.81, 459,741.12 and 182,234.81 is: 251,490.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,137.81 : 459,741.12 = 182,234.81 : x
  2. Step 2: Convert to fraction form
    333,137.81/459,741.12 = 182,234.81/x
  3. Step 3: Cross multiply
    333,137.81x = 459,741.12 × 182,234.81
  4. Step 4: Simplify right side
    333,137.81x = 83,780,836,118.36
  5. Step 5: Solve for x
    x = 83,780,836,118.36/333,137.81
  6. Step 6: Final answer
    x = 251,490.02

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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.