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Finding the Fourth Proportional to 201,738.80, 302,498.85 and 83,276.30

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Solution

The fourth proportional to 201,738.80, 302,498.85 and 83,276.30 is: 124,869.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,738.80 : 302,498.85 = 83,276.30 : x
  2. Step 2: Convert to fraction form
    201,738.80/302,498.85 = 83,276.30/x
  3. Step 3: Cross multiply
    201,738.80x = 302,498.85 × 83,276.30
  4. Step 4: Simplify right side
    201,738.80x = 25,190,984,982.26
  5. Step 5: Solve for x
    x = 25,190,984,982.26/201,738.80
  6. Step 6: Final answer
    x = 124,869.31

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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.