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Finding the Fourth Proportional to 102,794.38, 154,214.24 and 43,680.58

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Solution

The fourth proportional to 102,794.38, 154,214.24 and 43,680.58 is: 65,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,794.38 : 154,214.24 = 43,680.58 : x
  2. Step 2: Convert to fraction form
    102,794.38/154,214.24 = 43,680.58/x
  3. Step 3: Cross multiply
    102,794.38x = 154,214.24 × 43,680.58
  4. Step 4: Simplify right side
    102,794.38x = 6,736,167,447.46
  5. Step 5: Solve for x
    x = 6,736,167,447.46/102,794.38
  6. Step 6: Final answer
    x = 65,530.50

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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.