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Finding the Fourth Proportional to 283,097.30, 424,793.57 and 114,742.04

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Solution

The fourth proportional to 283,097.30, 424,793.57 and 114,742.04 is: 172,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,097.30 : 424,793.57 = 114,742.04 : x
  2. Step 2: Convert to fraction form
    283,097.30/424,793.57 = 114,742.04/x
  3. Step 3: Cross multiply
    283,097.30x = 424,793.57 × 114,742.04
  4. Step 4: Simplify right side
    283,097.30x = 48,741,678,103.00
  5. Step 5: Solve for x
    x = 48,741,678,103.00/283,097.30
  6. Step 6: Final answer
    x = 172,172.89

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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.