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Finding the Fourth Proportional to 110,025.30, 164,825.72 and 65,687.52

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Solution

The fourth proportional to 110,025.30, 164,825.72 and 65,687.52 is: 98,404.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,025.30 : 164,825.72 = 65,687.52 : x
  2. Step 2: Convert to fraction form
    110,025.30/164,825.72 = 65,687.52/x
  3. Step 3: Cross multiply
    110,025.30x = 164,825.72 × 65,687.52
  4. Step 4: Simplify right side
    110,025.30x = 10,826,992,779.01
  5. Step 5: Solve for x
    x = 10,826,992,779.01/110,025.30
  6. Step 6: Final answer
    x = 98,404.57

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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.