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Finding the Fourth Proportional to 161,709.20, 242,563.80 and 135,465.20

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Solution

The fourth proportional to 161,709.20, 242,563.80 and 135,465.20 is: 203,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,709.20 : 242,563.80 = 135,465.20 : x
  2. Step 2: Convert to fraction form
    161,709.20/242,563.80 = 135,465.20/x
  3. Step 3: Cross multiply
    161,709.20x = 242,563.80 × 135,465.20
  4. Step 4: Simplify right side
    161,709.20x = 32,858,953,679.76
  5. Step 5: Solve for x
    x = 32,858,953,679.76/161,709.20
  6. Step 6: Final answer
    x = 203,197.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.