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Finding the Fourth Proportional to 201,102.90, 301,654.35 and 133,743.30

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Solution

The fourth proportional to 201,102.90, 301,654.35 and 133,743.30 is: 200,614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,102.90 : 301,654.35 = 133,743.30 : x
  2. Step 2: Convert to fraction form
    201,102.90/301,654.35 = 133,743.30/x
  3. Step 3: Cross multiply
    201,102.90x = 301,654.35 × 133,743.30
  4. Step 4: Simplify right side
    201,102.90x = 40,344,248,228.36
  5. Step 5: Solve for x
    x = 40,344,248,228.36/201,102.90
  6. Step 6: Final answer
    x = 200,614.95

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1.5x scale

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.