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Finding the Fourth Proportional to 201,103.90, 301,655.85 and 133,744.30

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Solution

The fourth proportional to 201,103.90, 301,655.85 and 133,744.30 is: 200,616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,103.90 : 301,655.85 = 133,744.30 : x
  2. Step 2: Convert to fraction form
    201,103.90/301,655.85 = 133,744.30/x
  3. Step 3: Cross multiply
    201,103.90x = 301,655.85 × 133,744.30
  4. Step 4: Simplify right side
    201,103.90x = 40,344,750,499.16
  5. Step 5: Solve for x
    x = 40,344,750,499.16/201,103.90
  6. Step 6: Final answer
    x = 200,616.45

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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.