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Finding the Fourth Proportional to 200,902.70, 301,354.05 and 130,043.90

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Solution

The fourth proportional to 200,902.70, 301,354.05 and 130,043.90 is: 195,065.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,902.70 : 301,354.05 = 130,043.90 : x
  2. Step 2: Convert to fraction form
    200,902.70/301,354.05 = 130,043.90/x
  3. Step 3: Cross multiply
    200,902.70x = 301,354.05 × 130,043.90
  4. Step 4: Simplify right side
    200,902.70x = 39,189,255,942.80
  5. Step 5: Solve for x
    x = 39,189,255,942.80/200,902.70
  6. Step 6: Final answer
    x = 195,065.85

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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.