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Finding the Fourth Proportional to 201,235.92, 301,427.40 and 137,758.26

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Solution

The fourth proportional to 201,235.92, 301,427.40 and 137,758.26 is: 206,345.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,235.92 : 301,427.40 = 137,758.26 : x
  2. Step 2: Convert to fraction form
    201,235.92/301,427.40 = 137,758.26/x
  3. Step 3: Cross multiply
    201,235.92x = 301,427.40 × 137,758.26
  4. Step 4: Simplify right side
    201,235.92x = 41,524,114,140.32
  5. Step 5: Solve for x
    x = 41,524,114,140.32/201,235.92
  6. Step 6: Final answer
    x = 206,345.44

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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.