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Finding the Fourth Proportional to 201,535.17, 301,656.38 and 133,911.92

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Solution

The fourth proportional to 201,535.17, 301,656.38 and 133,911.92 is: 200,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,535.17 : 301,656.38 = 133,911.92 : x
  2. Step 2: Convert to fraction form
    201,535.17/301,656.38 = 133,911.92/x
  3. Step 3: Cross multiply
    201,535.17x = 301,656.38 × 133,911.92
  4. Step 4: Simplify right side
    201,535.17x = 40,395,382,848.21
  5. Step 5: Solve for x
    x = 40,395,382,848.21/201,535.17
  6. Step 6: Final answer
    x = 200,438.38

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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.