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Finding the Fourth Proportional to 110,624.52, 165,703.46 and 75,107.64

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Solution

The fourth proportional to 110,624.52, 165,703.46 and 75,107.64 is: 112,503.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,624.52 : 165,703.46 = 75,107.64 : x
  2. Step 2: Convert to fraction form
    110,624.52/165,703.46 = 75,107.64/x
  3. Step 3: Cross multiply
    110,624.52x = 165,703.46 × 75,107.64
  4. Step 4: Simplify right side
    110,624.52x = 12,445,595,820.43
  5. Step 5: Solve for x
    x = 12,445,595,820.43/110,624.52
  6. Step 6: Final answer
    x = 112,503.05

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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.