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Finding the Fourth Proportional to 179,708.80, 269,433.60 and 117,414.40

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Solution

The fourth proportional to 179,708.80, 269,433.60 and 117,414.40 is: 176,036.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,708.80 : 269,433.60 = 117,414.40 : x
  2. Step 2: Convert to fraction form
    179,708.80/269,433.60 = 117,414.40/x
  3. Step 3: Cross multiply
    179,708.80x = 269,433.60 × 117,414.40
  4. Step 4: Simplify right side
    179,708.80x = 31,635,384,483.84
  5. Step 5: Solve for x
    x = 31,635,384,483.84/179,708.80
  6. Step 6: Final answer
    x = 176,036.92

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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.