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Finding the Fourth Proportional to 202,233.60, 279,137.88 and 117,378

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Solution

The fourth proportional to 202,233.60, 279,137.88 and 117,378 is: 162,013.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,233.60 : 279,137.88 = 117,378 : x
  2. Step 2: Convert to fraction form
    202,233.60/279,137.88 = 117,378/x
  3. Step 3: Cross multiply
    202,233.60x = 279,137.88 × 117,378
  4. Step 4: Simplify right side
    202,233.60x = 32,764,646,078.64
  5. Step 5: Solve for x
    x = 32,764,646,078.64/202,233.60
  6. Step 6: Final answer
    x = 162,013.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.