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Finding the Fourth Proportional to 298,842.66, 447,981.56 and 119,039.10

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Solution

The fourth proportional to 298,842.66, 447,981.56 and 119,039.10 is: 178,446.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,842.66 : 447,981.56 = 119,039.10 : x
  2. Step 2: Convert to fraction form
    298,842.66/447,981.56 = 119,039.10/x
  3. Step 3: Cross multiply
    298,842.66x = 447,981.56 × 119,039.10
  4. Step 4: Simplify right side
    298,842.66x = 53,327,321,123.80
  5. Step 5: Solve for x
    x = 53,327,321,123.80/298,842.66
  6. Step 6: Final answer
    x = 178,446.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.