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Finding the Fourth Proportional to 164,843.80, 247,071.30 and 85,917.40

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Solution

The fourth proportional to 164,843.80, 247,071.30 and 85,917.40 is: 128,774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,843.80 : 247,071.30 = 85,917.40 : x
  2. Step 2: Convert to fraction form
    164,843.80/247,071.30 = 85,917.40/x
  3. Step 3: Cross multiply
    164,843.80x = 247,071.30 × 85,917.40
  4. Step 4: Simplify right side
    164,843.80x = 21,227,723,710.62
  5. Step 5: Solve for x
    x = 21,227,723,710.62/164,843.80
  6. Step 6: Final answer
    x = 128,774.78

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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.