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Finding the Fourth Proportional to 331,000.84, 456,767.69 and 187,757.81

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Solution

The fourth proportional to 331,000.84, 456,767.69 and 187,757.81 is: 259,098.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,000.84 : 456,767.69 = 187,757.81 : x
  2. Step 2: Convert to fraction form
    331,000.84/456,767.69 = 187,757.81/x
  3. Step 3: Cross multiply
    331,000.84x = 456,767.69 × 187,757.81
  4. Step 4: Simplify right side
    331,000.84x = 85,761,698,869.32
  5. Step 5: Solve for x
    x = 85,761,698,869.32/331,000.84
  6. Step 6: Final answer
    x = 259,098.13

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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.