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Finding the Fourth Proportional to 135,206.80, 202,810.20 and 82,675.60

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Solution

The fourth proportional to 135,206.80, 202,810.20 and 82,675.60 is: 124,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,206.80 : 202,810.20 = 82,675.60 : x
  2. Step 2: Convert to fraction form
    135,206.80/202,810.20 = 82,675.60/x
  3. Step 3: Cross multiply
    135,206.80x = 202,810.20 × 82,675.60
  4. Step 4: Simplify right side
    135,206.80x = 16,767,454,971.12
  5. Step 5: Solve for x
    x = 16,767,454,971.12/135,206.80
  6. Step 6: Final answer
    x = 124,013.40

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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.