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Finding the Fourth Proportional to 202,954.60, 305,015.10 and 177,293.80

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Solution

The fourth proportional to 202,954.60, 305,015.10 and 177,293.80 is: 266,450.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,954.60 : 305,015.10 = 177,293.80 : x
  2. Step 2: Convert to fraction form
    202,954.60/305,015.10 = 177,293.80/x
  3. Step 3: Cross multiply
    202,954.60x = 305,015.10 × 177,293.80
  4. Step 4: Simplify right side
    202,954.60x = 54,077,286,136.38
  5. Step 5: Solve for x
    x = 54,077,286,136.38/202,954.60
  6. Step 6: Final answer
    x = 266,450.16

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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.