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Finding the Fourth Proportional to 202,955.60, 305,016.60 and 177,294.80

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Solution

The fourth proportional to 202,955.60, 305,016.60 and 177,294.80 is: 266,451.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,955.60 : 305,016.60 = 177,294.80 : x
  2. Step 2: Convert to fraction form
    202,955.60/305,016.60 = 177,294.80/x
  3. Step 3: Cross multiply
    202,955.60x = 305,016.60 × 177,294.80
  4. Step 4: Simplify right side
    202,955.60x = 54,077,857,093.68
  5. Step 5: Solve for x
    x = 54,077,857,093.68/202,955.60
  6. Step 6: Final answer
    x = 266,451.66

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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.