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Finding the Fourth Proportional to 103,182.96, 154,774.44 and 68,114.40

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Solution

The fourth proportional to 103,182.96, 154,774.44 and 68,114.40 is: 102,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,182.96 : 154,774.44 = 68,114.40 : x
  2. Step 2: Convert to fraction form
    103,182.96/154,774.44 = 68,114.40/x
  3. Step 3: Cross multiply
    103,182.96x = 154,774.44 × 68,114.40
  4. Step 4: Simplify right side
    103,182.96x = 10,542,368,115.94
  5. Step 5: Solve for x
    x = 10,542,368,115.94/103,182.96
  6. Step 6: Final answer
    x = 102,171.60

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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.