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Finding the Fourth Proportional to 102,863.80, 154,257.30 and 71,606.20

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Solution

The fourth proportional to 102,863.80, 154,257.30 and 71,606.20 is: 107,382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,863.80 : 154,257.30 = 71,606.20 : x
  2. Step 2: Convert to fraction form
    102,863.80/154,257.30 = 71,606.20/x
  3. Step 3: Cross multiply
    102,863.80x = 154,257.30 × 71,606.20
  4. Step 4: Simplify right side
    102,863.80x = 11,045,779,075.26
  5. Step 5: Solve for x
    x = 11,045,779,075.26/102,863.80
  6. Step 6: Final answer
    x = 107,382.57

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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.