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Finding the Fourth Proportional to 202,086.30, 303,129.45 and 89,766.30

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Solution

The fourth proportional to 202,086.30, 303,129.45 and 89,766.30 is: 134,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,086.30 : 303,129.45 = 89,766.30 : x
  2. Step 2: Convert to fraction form
    202,086.30/303,129.45 = 89,766.30/x
  3. Step 3: Cross multiply
    202,086.30x = 303,129.45 × 89,766.30
  4. Step 4: Simplify right side
    202,086.30x = 27,210,809,147.54
  5. Step 5: Solve for x
    x = 27,210,809,147.54/202,086.30
  6. Step 6: Final answer
    x = 134,649.45

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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.