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Finding the Fourth Proportional to 201,701.70, 302,617.35 and 135,216.90

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Solution

The fourth proportional to 201,701.70, 302,617.35 and 135,216.90 is: 202,868.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,701.70 : 302,617.35 = 135,216.90 : x
  2. Step 2: Convert to fraction form
    201,701.70/302,617.35 = 135,216.90/x
  3. Step 3: Cross multiply
    201,701.70x = 302,617.35 × 135,216.90
  4. Step 4: Simplify right side
    201,701.70x = 40,918,979,953.22
  5. Step 5: Solve for x
    x = 40,918,979,953.22/201,701.70
  6. Step 6: Final answer
    x = 202,868.79

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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.