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Finding the Fourth Proportional to 201,133.20, 301,610.70 and 67,977.30

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Solution

The fourth proportional to 201,133.20, 301,610.70 and 67,977.30 is: 101,935.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,133.20 : 301,610.70 = 67,977.30 : x
  2. Step 2: Convert to fraction form
    201,133.20/301,610.70 = 67,977.30/x
  3. Step 3: Cross multiply
    201,133.20x = 301,610.70 × 67,977.30
  4. Step 4: Simplify right side
    201,133.20x = 20,502,681,037.11
  5. Step 5: Solve for x
    x = 20,502,681,037.11/201,133.20
  6. Step 6: Final answer
    x = 101,935.84

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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.