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Finding the Fourth Proportional to 202,679.40, 302,534.86 and 178,738.44

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Solution

The fourth proportional to 202,679.40, 302,534.86 and 178,738.44 is: 266,798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,679.40 : 302,534.86 = 178,738.44 : x
  2. Step 2: Convert to fraction form
    202,679.40/302,534.86 = 178,738.44/x
  3. Step 3: Cross multiply
    202,679.40x = 302,534.86 × 178,738.44
  4. Step 4: Simplify right side
    202,679.40x = 54,074,608,922.02
  5. Step 5: Solve for x
    x = 54,074,608,922.02/202,679.40
  6. Step 6: Final answer
    x = 266,798.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.