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Finding the Fourth Proportional to 298,071.88, 411,127.68 and 183,199.71

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Solution

The fourth proportional to 298,071.88, 411,127.68 and 183,199.71 is: 252,685.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,071.88 : 411,127.68 = 183,199.71 : x
  2. Step 2: Convert to fraction form
    298,071.88/411,127.68 = 183,199.71/x
  3. Step 3: Cross multiply
    298,071.88x = 411,127.68 × 183,199.71
  4. Step 4: Simplify right side
    298,071.88x = 75,318,469,693.33
  5. Step 5: Solve for x
    x = 75,318,469,693.33/298,071.88
  6. Step 6: Final answer
    x = 252,685.59

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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.