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Finding the Fourth Proportional to 106,506.56, 159,486.56 and 103,353.36

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Solution

The fourth proportional to 106,506.56, 159,486.56 and 103,353.36 is: 154,764.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,506.56 : 159,486.56 = 103,353.36 : x
  2. Step 2: Convert to fraction form
    106,506.56/159,486.56 = 103,353.36/x
  3. Step 3: Cross multiply
    106,506.56x = 159,486.56 × 103,353.36
  4. Step 4: Simplify right side
    106,506.56x = 16,483,471,850.84
  5. Step 5: Solve for x
    x = 16,483,471,850.84/106,506.56
  6. Step 6: Final answer
    x = 154,764.85

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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.