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Finding the Fourth Proportional to 201,658.20, 302,487.30 and 83,414.40

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Solution

The fourth proportional to 201,658.20, 302,487.30 and 83,414.40 is: 125,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,658.20 : 302,487.30 = 83,414.40 : x
  2. Step 2: Convert to fraction form
    201,658.20/302,487.30 = 83,414.40/x
  3. Step 3: Cross multiply
    201,658.20x = 302,487.30 × 83,414.40
  4. Step 4: Simplify right side
    201,658.20x = 25,231,796,637.12
  5. Step 5: Solve for x
    x = 25,231,796,637.12/201,658.20
  6. Step 6: Final answer
    x = 125,121.60

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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.