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Finding the Fourth Proportional to 205,266.80, 307,381.80 and 134,764.40

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Solution

The fourth proportional to 205,266.80, 307,381.80 and 134,764.40 is: 201,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,266.80 : 307,381.80 = 134,764.40 : x
  2. Step 2: Convert to fraction form
    205,266.80/307,381.80 = 134,764.40/x
  3. Step 3: Cross multiply
    205,266.80x = 307,381.80 × 134,764.40
  4. Step 4: Simplify right side
    205,266.80x = 41,424,123,847.92
  5. Step 5: Solve for x
    x = 41,424,123,847.92/205,266.80
  6. Step 6: Final answer
    x = 201,806.25

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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.