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Finding the Fourth Proportional to 271,842.57, 407,814.05 and 89,483.68

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Solution

The fourth proportional to 271,842.57, 407,814.05 and 89,483.68 is: 134,242.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,842.57 : 407,814.05 = 89,483.68 : x
  2. Step 2: Convert to fraction form
    271,842.57/407,814.05 = 89,483.68/x
  3. Step 3: Cross multiply
    271,842.57x = 407,814.05 × 89,483.68
  4. Step 4: Simplify right side
    271,842.57x = 36,492,701,949.70
  5. Step 5: Solve for x
    x = 36,492,701,949.70/271,842.57
  6. Step 6: Final answer
    x = 134,242.04

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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.