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Finding the Fourth Proportional to 188,624.70, 283,265.10 and 100,051.20

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Solution

The fourth proportional to 188,624.70, 283,265.10 and 100,051.20 is: 150,250.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,624.70 : 283,265.10 = 100,051.20 : x
  2. Step 2: Convert to fraction form
    188,624.70/283,265.10 = 100,051.20/x
  3. Step 3: Cross multiply
    188,624.70x = 283,265.10 × 100,051.20
  4. Step 4: Simplify right side
    188,624.70x = 28,341,013,173.12
  5. Step 5: Solve for x
    x = 28,341,013,173.12/188,624.70
  6. Step 6: Final answer
    x = 150,250.81

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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.