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Finding the Fourth Proportional to 201,367.08, 301,393.14 and 148,044.96

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Solution

The fourth proportional to 201,367.08, 301,393.14 and 148,044.96 is: 221,584.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,367.08 : 301,393.14 = 148,044.96 : x
  2. Step 2: Convert to fraction form
    201,367.08/301,393.14 = 148,044.96/x
  3. Step 3: Cross multiply
    201,367.08x = 301,393.14 × 148,044.96
  4. Step 4: Simplify right side
    201,367.08x = 44,619,735,355.57
  5. Step 5: Solve for x
    x = 44,619,735,355.57/201,367.08
  6. Step 6: Final answer
    x = 221,584.06

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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.