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Finding the Fourth Proportional to 201,141.20, 301,622.70 and 67,985.30

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Solution

The fourth proportional to 201,141.20, 301,622.70 and 67,985.30 is: 101,947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,141.20 : 301,622.70 = 67,985.30 : x
  2. Step 2: Convert to fraction form
    201,141.20/301,622.70 = 67,985.30/x
  3. Step 3: Cross multiply
    201,141.20x = 301,622.70 × 67,985.30
  4. Step 4: Simplify right side
    201,141.20x = 20,505,909,746.31
  5. Step 5: Solve for x
    x = 20,505,909,746.31/201,141.20
  6. Step 6: Final answer
    x = 101,947.83

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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.