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Finding the Fourth Proportional to 109,227.14, 163,904.40 and 46,043.40

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Solution

The fourth proportional to 109,227.14, 163,904.40 and 46,043.40 is: 69,091.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,227.14 : 163,904.40 = 46,043.40 : x
  2. Step 2: Convert to fraction form
    109,227.14/163,904.40 = 46,043.40/x
  3. Step 3: Cross multiply
    109,227.14x = 163,904.40 × 46,043.40
  4. Step 4: Simplify right side
    109,227.14x = 7,546,715,850.96
  5. Step 5: Solve for x
    x = 7,546,715,850.96/109,227.14
  6. Step 6: Final answer
    x = 69,091.95

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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.