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Finding the Fourth Proportional to 202,036.20, 302,471.10 and 178,708.20

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Solution

The fourth proportional to 202,036.20, 302,471.10 and 178,708.20 is: 267,546.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,036.20 : 302,471.10 = 178,708.20 : x
  2. Step 2: Convert to fraction form
    202,036.20/302,471.10 = 178,708.20/x
  3. Step 3: Cross multiply
    202,036.20x = 302,471.10 × 178,708.20
  4. Step 4: Simplify right side
    202,036.20x = 54,054,065,833.02
  5. Step 5: Solve for x
    x = 54,054,065,833.02/202,036.20
  6. Step 6: Final answer
    x = 267,546.44

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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.