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Finding the Fourth Proportional to 183,447.80, 274,653.30 and 164,785.40

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Solution

The fourth proportional to 183,447.80, 274,653.30 and 164,785.40 is: 246,712.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,447.80 : 274,653.30 = 164,785.40 : x
  2. Step 2: Convert to fraction form
    183,447.80/274,653.30 = 164,785.40/x
  3. Step 3: Cross multiply
    183,447.80x = 274,653.30 × 164,785.40
  4. Step 4: Simplify right side
    183,447.80x = 45,258,853,901.82
  5. Step 5: Solve for x
    x = 45,258,853,901.82/183,447.80
  6. Step 6: Final answer
    x = 246,712.44

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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.