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Finding the Fourth Proportional to 201,193.60, 301,826.85 and 101,101.90

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Solution

The fourth proportional to 201,193.60, 301,826.85 and 101,101.90 is: 151,671.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,193.60 : 301,826.85 = 101,101.90 : x
  2. Step 2: Convert to fraction form
    201,193.60/301,826.85 = 101,101.90/x
  3. Step 3: Cross multiply
    201,193.60x = 301,826.85 × 101,101.90
  4. Step 4: Simplify right side
    201,193.60x = 30,515,268,006.02
  5. Step 5: Solve for x
    x = 30,515,268,006.02/201,193.60
  6. Step 6: Final answer
    x = 151,671.17

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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.