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Finding the Fourth Proportional to 135,020.25, 202,392.14 and 56,180.25

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Solution

The fourth proportional to 135,020.25, 202,392.14 and 56,180.25 is: 84,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,020.25 : 202,392.14 = 56,180.25 : x
  2. Step 2: Convert to fraction form
    135,020.25/202,392.14 = 56,180.25/x
  3. Step 3: Cross multiply
    135,020.25x = 202,392.14 × 56,180.25
  4. Step 4: Simplify right side
    135,020.25x = 11,370,440,742.33
  5. Step 5: Solve for x
    x = 11,370,440,742.33/135,020.25
  6. Step 6: Final answer
    x = 84,212.86

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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.