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Finding the Fourth Proportional to 102,517.44, 153,723.49 and 46,327.11

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Solution

The fourth proportional to 102,517.44, 153,723.49 and 46,327.11 is: 69,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,517.44 : 153,723.49 = 46,327.11 : x
  2. Step 2: Convert to fraction form
    102,517.44/153,723.49 = 46,327.11/x
  3. Step 3: Cross multiply
    102,517.44x = 153,723.49 × 46,327.11
  4. Step 4: Simplify right side
    102,517.44x = 7,121,564,338.53
  5. Step 5: Solve for x
    x = 7,121,564,338.53/102,517.44
  6. Step 6: Final answer
    x = 69,466.86

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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.