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Finding the Fourth Proportional to 275,299.30, 412,600.62 and 157,037.14

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Solution

The fourth proportional to 275,299.30, 412,600.62 and 157,037.14 is: 235,357.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,299.30 : 412,600.62 = 157,037.14 : x
  2. Step 2: Convert to fraction form
    275,299.30/412,600.62 = 157,037.14/x
  3. Step 3: Cross multiply
    275,299.30x = 412,600.62 × 157,037.14
  4. Step 4: Simplify right side
    275,299.30x = 64,793,621,327.03
  5. Step 5: Solve for x
    x = 64,793,621,327.03/275,299.30
  6. Step 6: Final answer
    x = 235,357.01

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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.