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Finding the Fourth Proportional to 182,330, 251,624.04 and 102,842

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Solution

The fourth proportional to 182,330, 251,624.04 and 102,842 is: 141,926.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,330 : 251,624.04 = 102,842 : x
  2. Step 2: Convert to fraction form
    182,330/251,624.04 = 102,842/x
  3. Step 3: Cross multiply
    182,330x = 251,624.04 × 102,842
  4. Step 4: Simplify right side
    182,330x = 25,877,519,521.68
  5. Step 5: Solve for x
    x = 25,877,519,521.68/182,330
  6. Step 6: Final answer
    x = 141,926.83

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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.