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Finding the Fourth Proportional to 201,652.20, 302,478.30 and 83,408.40

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Solution

The fourth proportional to 201,652.20, 302,478.30 and 83,408.40 is: 125,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,652.20 : 302,478.30 = 83,408.40 : x
  2. Step 2: Convert to fraction form
    201,652.20/302,478.30 = 83,408.40/x
  3. Step 3: Cross multiply
    201,652.20x = 302,478.30 × 83,408.40
  4. Step 4: Simplify right side
    201,652.20x = 25,229,231,037.72
  5. Step 5: Solve for x
    x = 25,229,231,037.72/201,652.20
  6. Step 6: Final answer
    x = 125,112.60

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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.