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Finding the Fourth Proportional to 109,853.10, 164,779.65 and 65,529.90

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Solution

The fourth proportional to 109,853.10, 164,779.65 and 65,529.90 is: 98,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,853.10 : 164,779.65 = 65,529.90 : x
  2. Step 2: Convert to fraction form
    109,853.10/164,779.65 = 65,529.90/x
  3. Step 3: Cross multiply
    109,853.10x = 164,779.65 × 65,529.90
  4. Step 4: Simplify right side
    109,853.10x = 10,797,993,986.54
  5. Step 5: Solve for x
    x = 10,797,993,986.54/109,853.10
  6. Step 6: Final answer
    x = 98,294.85

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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.